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Finding the Fourth Proportional to 3,774.40, 5,652.03 and 3,156.57

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Solution

The fourth proportional to 3,774.40, 5,652.03 and 3,156.57 is: 4,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.40 : 5,652.03 = 3,156.57 : x
  2. Step 2: Convert to fraction form
    3,774.40/5,652.03 = 3,156.57/x
  3. Step 3: Cross multiply
    3,774.40x = 5,652.03 × 3,156.57
  4. Step 4: Simplify right side
    3,774.40x = 17,841,022.42
  5. Step 5: Solve for x
    x = 17,841,022.42/3,774.40
  6. Step 6: Final answer
    x = 4,726.85

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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.