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Finding the Fourth Proportional to 2,630.53, 3,944.98 and 2,458

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Solution

The fourth proportional to 2,630.53, 3,944.98 and 2,458 is: 3,686.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.53 : 3,944.98 = 2,458 : x
  2. Step 2: Convert to fraction form
    2,630.53/3,944.98 = 2,458/x
  3. Step 3: Cross multiply
    2,630.53x = 3,944.98 × 2,458
  4. Step 4: Simplify right side
    2,630.53x = 9,696,760.84
  5. Step 5: Solve for x
    x = 9,696,760.84/2,630.53
  6. Step 6: Final answer
    x = 3,686.24

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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.