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Finding the Fourth Proportional to 38,287, 52,836.06 and 21,520

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Solution

The fourth proportional to 38,287, 52,836.06 and 21,520 is: 29,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,287 : 52,836.06 = 21,520 : x
  2. Step 2: Convert to fraction form
    38,287/52,836.06 = 21,520/x
  3. Step 3: Cross multiply
    38,287x = 52,836.06 × 21,520
  4. Step 4: Simplify right side
    38,287x = 1,137,032,011.20
  5. Step 5: Solve for x
    x = 1,137,032,011.20/38,287
  6. Step 6: Final answer
    x = 29,697.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.