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Finding the Fourth Proportional to 3,598, 5,397.21 and 1,132.90

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Solution

The fourth proportional to 3,598, 5,397.21 and 1,132.90 is: 1,699.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598 : 5,397.21 = 1,132.90 : x
  2. Step 2: Convert to fraction form
    3,598/5,397.21 = 1,132.90/x
  3. Step 3: Cross multiply
    3,598x = 5,397.21 × 1,132.90
  4. Step 4: Simplify right side
    3,598x = 6,114,499.21
  5. Step 5: Solve for x
    x = 6,114,499.21/3,598
  6. Step 6: Final answer
    x = 1,699.42

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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.