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Finding the Fourth Proportional to 4,167.90, 6,239.70 and 3,681.90

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Solution

The fourth proportional to 4,167.90, 6,239.70 and 3,681.90 is: 5,512.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.90 : 6,239.70 = 3,681.90 : x
  2. Step 2: Convert to fraction form
    4,167.90/6,239.70 = 3,681.90/x
  3. Step 3: Cross multiply
    4,167.90x = 6,239.70 × 3,681.90
  4. Step 4: Simplify right side
    4,167.90x = 22,973,951.43
  5. Step 5: Solve for x
    x = 22,973,951.43/4,167.90
  6. Step 6: Final answer
    x = 5,512.12

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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.