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Finding the Fourth Proportional to 2,472, 3,708.42 and 1,172.76

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Solution

The fourth proportional to 2,472, 3,708.42 and 1,172.76 is: 1,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472 : 3,708.42 = 1,172.76 : x
  2. Step 2: Convert to fraction form
    2,472/3,708.42 = 1,172.76/x
  3. Step 3: Cross multiply
    2,472x = 3,708.42 × 1,172.76
  4. Step 4: Simplify right side
    2,472x = 4,349,086.64
  5. Step 5: Solve for x
    x = 4,349,086.64/2,472
  6. Step 6: Final answer
    x = 1,759.34

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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.