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Finding the Fourth Proportional to 8,092.55, 11,139.65 and 6,977.18

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Solution

The fourth proportional to 8,092.55, 11,139.65 and 6,977.18 is: 9,604.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.55 : 11,139.65 = 6,977.18 : x
  2. Step 2: Convert to fraction form
    8,092.55/11,139.65 = 6,977.18/x
  3. Step 3: Cross multiply
    8,092.55x = 11,139.65 × 6,977.18
  4. Step 4: Simplify right side
    8,092.55x = 77,723,343.19
  5. Step 5: Solve for x
    x = 77,723,343.19/8,092.55
  6. Step 6: Final answer
    x = 9,604.31

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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.