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Finding the Fourth Proportional to 2,472.70, 3,710.08 and 1,155.49

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Solution

The fourth proportional to 2,472.70, 3,710.08 and 1,155.49 is: 1,733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.70 : 3,710.08 = 1,155.49 : x
  2. Step 2: Convert to fraction form
    2,472.70/3,710.08 = 1,155.49/x
  3. Step 3: Cross multiply
    2,472.70x = 3,710.08 × 1,155.49
  4. Step 4: Simplify right side
    2,472.70x = 4,286,959.69
  5. Step 5: Solve for x
    x = 4,286,959.69/2,472.70
  6. Step 6: Final answer
    x = 1,733.71

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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.