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Finding the Fourth Proportional to 3,640.98, 5,028.64 and 2,460

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Solution

The fourth proportional to 3,640.98, 5,028.64 and 2,460 is: 3,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.98 : 5,028.64 = 2,460 : x
  2. Step 2: Convert to fraction form
    3,640.98/5,028.64 = 2,460/x
  3. Step 3: Cross multiply
    3,640.98x = 5,028.64 × 2,460
  4. Step 4: Simplify right side
    3,640.98x = 12,370,454.40
  5. Step 5: Solve for x
    x = 12,370,454.40/3,640.98
  6. Step 6: Final answer
    x = 3,397.56

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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.