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Finding the Fourth Proportional to 3,139.62, 4,709.35 and 1,681.62

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Solution

The fourth proportional to 3,139.62, 4,709.35 and 1,681.62 is: 2,522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.62 : 4,709.35 = 1,681.62 : x
  2. Step 2: Convert to fraction form
    3,139.62/4,709.35 = 1,681.62/x
  3. Step 3: Cross multiply
    3,139.62x = 4,709.35 × 1,681.62
  4. Step 4: Simplify right side
    3,139.62x = 7,919,337.15
  5. Step 5: Solve for x
    x = 7,919,337.15/3,139.62
  6. Step 6: Final answer
    x = 2,522.39

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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.