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Finding the Fourth Proportional to 15,872.81, 23,792.43 and 5,871.13

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Solution

The fourth proportional to 15,872.81, 23,792.43 and 5,871.13 is: 8,800.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.81 : 23,792.43 = 5,871.13 : x
  2. Step 2: Convert to fraction form
    15,872.81/23,792.43 = 5,871.13/x
  3. Step 3: Cross multiply
    15,872.81x = 23,792.43 × 5,871.13
  4. Step 4: Simplify right side
    15,872.81x = 139,688,449.55
  5. Step 5: Solve for x
    x = 139,688,449.55/15,872.81
  6. Step 6: Final answer
    x = 8,800.49

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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.