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Finding the Fourth Proportional to 8,590.40, 12,895.20 and 8,026.40

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Solution

The fourth proportional to 8,590.40, 12,895.20 and 8,026.40 is: 12,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.40 : 12,895.20 = 8,026.40 : x
  2. Step 2: Convert to fraction form
    8,590.40/12,895.20 = 8,026.40/x
  3. Step 3: Cross multiply
    8,590.40x = 12,895.20 × 8,026.40
  4. Step 4: Simplify right side
    8,590.40x = 103,502,033.28
  5. Step 5: Solve for x
    x = 103,502,033.28/8,590.40
  6. Step 6: Final answer
    x = 12,048.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.