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Finding the Fourth Proportional to 6,407.47, 8,841.64 and 3,754.38

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Solution

The fourth proportional to 6,407.47, 8,841.64 and 3,754.38 is: 5,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.47 : 8,841.64 = 3,754.38 : x
  2. Step 2: Convert to fraction form
    6,407.47/8,841.64 = 3,754.38/x
  3. Step 3: Cross multiply
    6,407.47x = 8,841.64 × 3,754.38
  4. Step 4: Simplify right side
    6,407.47x = 33,194,876.38
  5. Step 5: Solve for x
    x = 33,194,876.38/6,407.47
  6. Step 6: Final answer
    x = 5,180.65

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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.