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Finding the Fourth Proportional to 3,713, 5,122.54 and 2,454.64

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Solution

The fourth proportional to 3,713, 5,122.54 and 2,454.64 is: 3,386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713 : 5,122.54 = 2,454.64 : x
  2. Step 2: Convert to fraction form
    3,713/5,122.54 = 2,454.64/x
  3. Step 3: Cross multiply
    3,713x = 5,122.54 × 2,454.64
  4. Step 4: Simplify right side
    3,713x = 12,573,991.59
  5. Step 5: Solve for x
    x = 12,573,991.59/3,713
  6. Step 6: Final answer
    x = 3,386.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.