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Finding the Fourth Proportional to 3,689.55, 5,534.78 and 1,349.19

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Solution

The fourth proportional to 3,689.55, 5,534.78 and 1,349.19 is: 2,023.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.55 : 5,534.78 = 1,349.19 : x
  2. Step 2: Convert to fraction form
    3,689.55/5,534.78 = 1,349.19/x
  3. Step 3: Cross multiply
    3,689.55x = 5,534.78 × 1,349.19
  4. Step 4: Simplify right side
    3,689.55x = 7,467,463.08
  5. Step 5: Solve for x
    x = 7,467,463.08/3,689.55
  6. Step 6: Final answer
    x = 2,023.95

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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.