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Finding the Fourth Proportional to 38,005.30, 57,011.19 and 9,929.08

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Solution

The fourth proportional to 38,005.30, 57,011.19 and 9,929.08 is: 14,894.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,005.30 : 57,011.19 = 9,929.08 : x
  2. Step 2: Convert to fraction form
    38,005.30/57,011.19 = 9,929.08/x
  3. Step 3: Cross multiply
    38,005.30x = 57,011.19 × 9,929.08
  4. Step 4: Simplify right side
    38,005.30x = 566,068,666.41
  5. Step 5: Solve for x
    x = 566,068,666.41/38,005.30
  6. Step 6: Final answer
    x = 14,894.47

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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.