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Finding the Fourth Proportional to 15,857.86, 23,787 and 7,538.71

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Solution

The fourth proportional to 15,857.86, 23,787 and 7,538.71 is: 11,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.86 : 23,787 = 7,538.71 : x
  2. Step 2: Convert to fraction form
    15,857.86/23,787 = 7,538.71/x
  3. Step 3: Cross multiply
    15,857.86x = 23,787 × 7,538.71
  4. Step 4: Simplify right side
    15,857.86x = 179,323,294.77
  5. Step 5: Solve for x
    x = 179,323,294.77/15,857.86
  6. Step 6: Final answer
    x = 11,308.16

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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.