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Finding the Fourth Proportional to 15,885.52, 23,812.08 and 12,929.84

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Solution

The fourth proportional to 15,885.52, 23,812.08 and 12,929.84 is: 19,381.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,885.52 : 23,812.08 = 12,929.84 : x
  2. Step 2: Convert to fraction form
    15,885.52/23,812.08 = 12,929.84/x
  3. Step 3: Cross multiply
    15,885.52x = 23,812.08 × 12,929.84
  4. Step 4: Simplify right side
    15,885.52x = 307,886,384.47
  5. Step 5: Solve for x
    x = 307,886,384.47/15,885.52
  6. Step 6: Final answer
    x = 19,381.57

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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.