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Finding the Fourth Proportional to 2,470.92, 3,709.42 and 1,638.76

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Solution

The fourth proportional to 2,470.92, 3,709.42 and 1,638.76 is: 2,460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.92 : 3,709.42 = 1,638.76 : x
  2. Step 2: Convert to fraction form
    2,470.92/3,709.42 = 1,638.76/x
  3. Step 3: Cross multiply
    2,470.92x = 3,709.42 × 1,638.76
  4. Step 4: Simplify right side
    2,470.92x = 6,078,849.12
  5. Step 5: Solve for x
    x = 6,078,849.12/2,470.92
  6. Step 6: Final answer
    x = 2,460.16

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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.