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Finding the Fourth Proportional to 3,647.74, 5,472.14 and 1,456.30

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Solution

The fourth proportional to 3,647.74, 5,472.14 and 1,456.30 is: 2,184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.74 : 5,472.14 = 1,456.30 : x
  2. Step 2: Convert to fraction form
    3,647.74/5,472.14 = 1,456.30/x
  3. Step 3: Cross multiply
    3,647.74x = 5,472.14 × 1,456.30
  4. Step 4: Simplify right side
    3,647.74x = 7,969,077.48
  5. Step 5: Solve for x
    x = 7,969,077.48/3,647.74
  6. Step 6: Final answer
    x = 2,184.66

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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.