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Finding the Fourth Proportional to 38,419.80, 57,629.70 and 31,421.40

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Solution

The fourth proportional to 38,419.80, 57,629.70 and 31,421.40 is: 47,132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,419.80 : 57,629.70 = 31,421.40 : x
  2. Step 2: Convert to fraction form
    38,419.80/57,629.70 = 31,421.40/x
  3. Step 3: Cross multiply
    38,419.80x = 57,629.70 × 31,421.40
  4. Step 4: Simplify right side
    38,419.80x = 1,810,805,855.58
  5. Step 5: Solve for x
    x = 1,810,805,855.58/38,419.80
  6. Step 6: Final answer
    x = 47,132.10

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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.