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Finding the Fourth Proportional to 7,882.81, 10,866.98 and 6,201.30

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Solution

The fourth proportional to 7,882.81, 10,866.98 and 6,201.30 is: 8,548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.81 : 10,866.98 = 6,201.30 : x
  2. Step 2: Convert to fraction form
    7,882.81/10,866.98 = 6,201.30/x
  3. Step 3: Cross multiply
    7,882.81x = 10,866.98 × 6,201.30
  4. Step 4: Simplify right side
    7,882.81x = 67,389,355.57
  5. Step 5: Solve for x
    x = 67,389,355.57/7,882.81
  6. Step 6: Final answer
    x = 8,548.90

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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.