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Finding the Fourth Proportional to 2,472, 3,708.74 and 1,431.76

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Solution

The fourth proportional to 2,472, 3,708.74 and 1,431.76 is: 2,148.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472 : 3,708.74 = 1,431.76 : x
  2. Step 2: Convert to fraction form
    2,472/3,708.74 = 1,431.76/x
  3. Step 3: Cross multiply
    2,472x = 3,708.74 × 1,431.76
  4. Step 4: Simplify right side
    2,472x = 5,310,025.58
  5. Step 5: Solve for x
    x = 5,310,025.58/2,472
  6. Step 6: Final answer
    x = 2,148.07

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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.