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Finding the Fourth Proportional to 47,929.70, 71,895 and 12,869.35

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Solution

The fourth proportional to 47,929.70, 71,895 and 12,869.35 is: 19,304.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,929.70 : 71,895 = 12,869.35 : x
  2. Step 2: Convert to fraction form
    47,929.70/71,895 = 12,869.35/x
  3. Step 3: Cross multiply
    47,929.70x = 71,895 × 12,869.35
  4. Step 4: Simplify right side
    47,929.70x = 925,242,008.12
  5. Step 5: Solve for x
    x = 925,242,008.12/47,929.70
  6. Step 6: Final answer
    x = 19,304.15

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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.