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Finding the Fourth Proportional to 6,145.78, 9,217.28 and 2,447

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Solution

The fourth proportional to 6,145.78, 9,217.28 and 2,447 is: 3,669.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.78 : 9,217.28 = 2,447 : x
  2. Step 2: Convert to fraction form
    6,145.78/9,217.28 = 2,447/x
  3. Step 3: Cross multiply
    6,145.78x = 9,217.28 × 2,447
  4. Step 4: Simplify right side
    6,145.78x = 22,554,684.16
  5. Step 5: Solve for x
    x = 22,554,684.16/6,145.78
  6. Step 6: Final answer
    x = 3,669.95

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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.