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Finding the Fourth Proportional to 3,437.58, 5,154.12 and 1,357.86

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Solution

The fourth proportional to 3,437.58, 5,154.12 and 1,357.86 is: 2,035.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.58 : 5,154.12 = 1,357.86 : x
  2. Step 2: Convert to fraction form
    3,437.58/5,154.12 = 1,357.86/x
  3. Step 3: Cross multiply
    3,437.58x = 5,154.12 × 1,357.86
  4. Step 4: Simplify right side
    3,437.58x = 6,998,573.38
  5. Step 5: Solve for x
    x = 6,998,573.38/3,437.58
  6. Step 6: Final answer
    x = 2,035.90

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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.