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Finding the Fourth Proportional to 5,343.57, 7,374.17 and 2,985.86

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Solution

The fourth proportional to 5,343.57, 7,374.17 and 2,985.86 is: 4,120.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.57 : 7,374.17 = 2,985.86 : x
  2. Step 2: Convert to fraction form
    5,343.57/7,374.17 = 2,985.86/x
  3. Step 3: Cross multiply
    5,343.57x = 7,374.17 × 2,985.86
  4. Step 4: Simplify right side
    5,343.57x = 22,018,265.14
  5. Step 5: Solve for x
    x = 22,018,265.14/5,343.57
  6. Step 6: Final answer
    x = 4,120.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.