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Finding the Fourth Proportional to 1,472.88, 2,197.23 and 1,439.40

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Solution

The fourth proportional to 1,472.88, 2,197.23 and 1,439.40 is: 2,147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.88 : 2,197.23 = 1,439.40 : x
  2. Step 2: Convert to fraction form
    1,472.88/2,197.23 = 1,439.40/x
  3. Step 3: Cross multiply
    1,472.88x = 2,197.23 × 1,439.40
  4. Step 4: Simplify right side
    1,472.88x = 3,162,692.86
  5. Step 5: Solve for x
    x = 3,162,692.86/1,472.88
  6. Step 6: Final answer
    x = 2,147.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.