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Finding the Fourth Proportional to 5,139.76, 7,710.84 and 1,677

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Solution

The fourth proportional to 5,139.76, 7,710.84 and 1,677 is: 2,515.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.76 : 7,710.84 = 1,677 : x
  2. Step 2: Convert to fraction form
    5,139.76/7,710.84 = 1,677/x
  3. Step 3: Cross multiply
    5,139.76x = 7,710.84 × 1,677
  4. Step 4: Simplify right side
    5,139.76x = 12,931,078.68
  5. Step 5: Solve for x
    x = 12,931,078.68/5,139.76
  6. Step 6: Final answer
    x = 2,515.89

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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.