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Finding the Fourth Proportional to 19,827.14, 29,715.03 and 15,129.81

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Solution

The fourth proportional to 19,827.14, 29,715.03 and 15,129.81 is: 22,675.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827.14 : 29,715.03 = 15,129.81 : x
  2. Step 2: Convert to fraction form
    19,827.14/29,715.03 = 15,129.81/x
  3. Step 3: Cross multiply
    19,827.14x = 29,715.03 × 15,129.81
  4. Step 4: Simplify right side
    19,827.14x = 449,582,758.04
  5. Step 5: Solve for x
    x = 449,582,758.04/19,827.14
  6. Step 6: Final answer
    x = 22,675.12

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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.