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Finding the Fourth Proportional to 8,411.70, 12,128.40 and 8,411.70

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Solution

The fourth proportional to 8,411.70, 12,128.40 and 8,411.70 is: 12,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.70 : 12,128.40 = 8,411.70 : x
  2. Step 2: Convert to fraction form
    8,411.70/12,128.40 = 8,411.70/x
  3. Step 3: Cross multiply
    8,411.70x = 12,128.40 × 8,411.70
  4. Step 4: Simplify right side
    8,411.70x = 102,020,462.28
  5. Step 5: Solve for x
    x = 102,020,462.28/8,411.70
  6. Step 6: Final answer
    x = 12,128.40

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.