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Finding the Fourth Proportional to 6,418.71, 9,625.71 and 2,257.95

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Solution

The fourth proportional to 6,418.71, 9,625.71 and 2,257.95 is: 3,386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.71 : 9,625.71 = 2,257.95 : x
  2. Step 2: Convert to fraction form
    6,418.71/9,625.71 = 2,257.95/x
  3. Step 3: Cross multiply
    6,418.71x = 9,625.71 × 2,257.95
  4. Step 4: Simplify right side
    6,418.71x = 21,734,371.89
  5. Step 5: Solve for x
    x = 21,734,371.89/6,418.71
  6. Step 6: Final answer
    x = 3,386.10

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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.