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Finding the Fourth Proportional to 6,442.71, 8,891.16 and 6,147.47

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Solution

The fourth proportional to 6,442.71, 8,891.16 and 6,147.47 is: 8,483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.71 : 8,891.16 = 6,147.47 : x
  2. Step 2: Convert to fraction form
    6,442.71/8,891.16 = 6,147.47/x
  3. Step 3: Cross multiply
    6,442.71x = 8,891.16 × 6,147.47
  4. Step 4: Simplify right side
    6,442.71x = 54,658,143.62
  5. Step 5: Solve for x
    x = 54,658,143.62/6,442.71
  6. Step 6: Final answer
    x = 8,483.71

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1.5x scale

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.