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Finding the Fourth Proportional to 38,390.64, 52,978.28 and 21,394.80

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Solution

The fourth proportional to 38,390.64, 52,978.28 and 21,394.80 is: 29,524.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,390.64 : 52,978.28 = 21,394.80 : x
  2. Step 2: Convert to fraction form
    38,390.64/52,978.28 = 21,394.80/x
  3. Step 3: Cross multiply
    38,390.64x = 52,978.28 × 21,394.80
  4. Step 4: Simplify right side
    38,390.64x = 1,133,459,597.97
  5. Step 5: Solve for x
    x = 1,133,459,597.97/38,390.64
  6. Step 6: Final answer
    x = 29,524.37

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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.