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Finding the Fourth Proportional to 6,437.25, 9,602.71 and 5,456.21

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Solution

The fourth proportional to 6,437.25, 9,602.71 and 5,456.21 is: 8,139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.25 : 9,602.71 = 5,456.21 : x
  2. Step 2: Convert to fraction form
    6,437.25/9,602.71 = 5,456.21/x
  3. Step 3: Cross multiply
    6,437.25x = 9,602.71 × 5,456.21
  4. Step 4: Simplify right side
    6,437.25x = 52,394,340.68
  5. Step 5: Solve for x
    x = 52,394,340.68/6,437.25
  6. Step 6: Final answer
    x = 8,139.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.