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Finding the Fourth Proportional to 5,173.76, 7,761.84 and 1,711

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Solution

The fourth proportional to 5,173.76, 7,761.84 and 1,711 is: 2,566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.76 : 7,761.84 = 1,711 : x
  2. Step 2: Convert to fraction form
    5,173.76/7,761.84 = 1,711/x
  3. Step 3: Cross multiply
    5,173.76x = 7,761.84 × 1,711
  4. Step 4: Simplify right side
    5,173.76x = 13,280,508.24
  5. Step 5: Solve for x
    x = 13,280,508.24/5,173.76
  6. Step 6: Final answer
    x = 2,566.90

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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.