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Finding the Fourth Proportional to 8,356.29, 11,531.07 and 4,578.86

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Solution

The fourth proportional to 8,356.29, 11,531.07 and 4,578.86 is: 6,318.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.29 : 11,531.07 = 4,578.86 : x
  2. Step 2: Convert to fraction form
    8,356.29/11,531.07 = 4,578.86/x
  3. Step 3: Cross multiply
    8,356.29x = 11,531.07 × 4,578.86
  4. Step 4: Simplify right side
    8,356.29x = 52,799,097.52
  5. Step 5: Solve for x
    x = 52,799,097.52/8,356.29
  6. Step 6: Final answer
    x = 6,318.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.