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Finding the Fourth Proportional to 3,689.42, 5,534.96 and 1,349.42

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Solution

The fourth proportional to 3,689.42, 5,534.96 and 1,349.42 is: 2,024.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.42 : 5,534.96 = 1,349.42 : x
  2. Step 2: Convert to fraction form
    3,689.42/5,534.96 = 1,349.42/x
  3. Step 3: Cross multiply
    3,689.42x = 5,534.96 × 1,349.42
  4. Step 4: Simplify right side
    3,689.42x = 7,468,985.72
  5. Step 5: Solve for x
    x = 7,468,985.72/3,689.42
  6. Step 6: Final answer
    x = 2,024.43

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1.5x scale

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.