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Finding the Fourth Proportional to 38,436.88, 57,654.60 and 13,470

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Solution

The fourth proportional to 38,436.88, 57,654.60 and 13,470 is: 20,204.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,436.88 : 57,654.60 = 13,470 : x
  2. Step 2: Convert to fraction form
    38,436.88/57,654.60 = 13,470/x
  3. Step 3: Cross multiply
    38,436.88x = 57,654.60 × 13,470
  4. Step 4: Simplify right side
    38,436.88x = 776,607,462
  5. Step 5: Solve for x
    x = 776,607,462/38,436.88
  6. Step 6: Final answer
    x = 20,204.75

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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.