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Finding the Fourth Proportional to 6,549.40, 9,807.90 and 6,257.80

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Solution

The fourth proportional to 6,549.40, 9,807.90 and 6,257.80 is: 9,371.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.40 : 9,807.90 = 6,257.80 : x
  2. Step 2: Convert to fraction form
    6,549.40/9,807.90 = 6,257.80/x
  3. Step 3: Cross multiply
    6,549.40x = 9,807.90 × 6,257.80
  4. Step 4: Simplify right side
    6,549.40x = 61,375,876.62
  5. Step 5: Solve for x
    x = 61,375,876.62/6,549.40
  6. Step 6: Final answer
    x = 9,371.22

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1.5x scale

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.