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Finding the Fourth Proportional to 38,672, 58,008.24 and 13,712.64

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Solution

The fourth proportional to 38,672, 58,008.24 and 13,712.64 is: 20,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,672 : 58,008.24 = 13,712.64 : x
  2. Step 2: Convert to fraction form
    38,672/58,008.24 = 13,712.64/x
  3. Step 3: Cross multiply
    38,672x = 58,008.24 × 13,712.64
  4. Step 4: Simplify right side
    38,672x = 795,446,112.15
  5. Step 5: Solve for x
    x = 795,446,112.15/38,672
  6. Step 6: Final answer
    x = 20,569.05

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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.