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Finding the Fourth Proportional to 2,425.92, 3,638.82 and 1,315.82

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Solution

The fourth proportional to 2,425.92, 3,638.82 and 1,315.82 is: 1,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.92 : 3,638.82 = 1,315.82 : x
  2. Step 2: Convert to fraction form
    2,425.92/3,638.82 = 1,315.82/x
  3. Step 3: Cross multiply
    2,425.92x = 3,638.82 × 1,315.82
  4. Step 4: Simplify right side
    2,425.92x = 4,788,032.13
  5. Step 5: Solve for x
    x = 4,788,032.13/2,425.92
  6. Step 6: Final answer
    x = 1,973.70

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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.