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Finding the Fourth Proportional to 15,841.72, 23,767.86 and 5,312.78

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Solution

The fourth proportional to 15,841.72, 23,767.86 and 5,312.78 is: 7,970.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,841.72 : 23,767.86 = 5,312.78 : x
  2. Step 2: Convert to fraction form
    15,841.72/23,767.86 = 5,312.78/x
  3. Step 3: Cross multiply
    15,841.72x = 23,767.86 × 5,312.78
  4. Step 4: Simplify right side
    15,841.72x = 126,273,411.25
  5. Step 5: Solve for x
    x = 126,273,411.25/15,841.72
  6. Step 6: Final answer
    x = 7,970.94

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