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Finding the Fourth Proportional to 8,117.10, 11,398.50 and 8,117.10

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Solution

The fourth proportional to 8,117.10, 11,398.50 and 8,117.10 is: 11,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.10 : 11,398.50 = 8,117.10 : x
  2. Step 2: Convert to fraction form
    8,117.10/11,398.50 = 8,117.10/x
  3. Step 3: Cross multiply
    8,117.10x = 11,398.50 × 8,117.10
  4. Step 4: Simplify right side
    8,117.10x = 92,522,764.35
  5. Step 5: Solve for x
    x = 92,522,764.35/8,117.10
  6. Step 6: Final answer
    x = 11,398.50

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Double scale
Find fourth proportional to 8,118.10, 11,399.90 and 8,118.10
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.