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Finding the Fourth Proportional to 6,418.74, 9,631.14 and 4,447.40

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Solution

The fourth proportional to 6,418.74, 9,631.14 and 4,447.40 is: 6,673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.74 : 9,631.14 = 4,447.40 : x
  2. Step 2: Convert to fraction form
    6,418.74/9,631.14 = 4,447.40/x
  3. Step 3: Cross multiply
    6,418.74x = 9,631.14 × 4,447.40
  4. Step 4: Simplify right side
    6,418.74x = 42,833,532.04
  5. Step 5: Solve for x
    x = 42,833,532.04/6,418.74
  6. Step 6: Final answer
    x = 6,673.20

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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.