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Finding the Fourth Proportional to 1,653.92, 2,478.71 and 1,262.46

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Solution

The fourth proportional to 1,653.92, 2,478.71 and 1,262.46 is: 1,892.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.92 : 2,478.71 = 1,262.46 : x
  2. Step 2: Convert to fraction form
    1,653.92/2,478.71 = 1,262.46/x
  3. Step 3: Cross multiply
    1,653.92x = 2,478.71 × 1,262.46
  4. Step 4: Simplify right side
    1,653.92x = 3,129,279.48
  5. Step 5: Solve for x
    x = 3,129,279.48/1,653.92
  6. Step 6: Final answer
    x = 1,892.04

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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.