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Finding the Fourth Proportional to 38,503.32, 53,134 and 21,507.80

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Solution

The fourth proportional to 38,503.32, 53,134 and 21,507.80 is: 29,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,503.32 : 53,134 = 21,507.80 : x
  2. Step 2: Convert to fraction form
    38,503.32/53,134 = 21,507.80/x
  3. Step 3: Cross multiply
    38,503.32x = 53,134 × 21,507.80
  4. Step 4: Simplify right side
    38,503.32x = 1,142,795,445.20
  5. Step 5: Solve for x
    x = 1,142,795,445.20/38,503.32
  6. Step 6: Final answer
    x = 29,680.44

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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.