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Finding the Fourth Proportional to 7,807.73, 10,765.49 and 6,311.03

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Solution

The fourth proportional to 7,807.73, 10,765.49 and 6,311.03 is: 8,701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.73 : 10,765.49 = 6,311.03 : x
  2. Step 2: Convert to fraction form
    7,807.73/10,765.49 = 6,311.03/x
  3. Step 3: Cross multiply
    7,807.73x = 10,765.49 × 6,311.03
  4. Step 4: Simplify right side
    7,807.73x = 67,941,244.97
  5. Step 5: Solve for x
    x = 67,941,244.97/7,807.73
  6. Step 6: Final answer
    x = 8,701.80

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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.