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Finding the Fourth Proportional to 8,082.88, 11,174.82 and 7,098.40

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Solution

The fourth proportional to 8,082.88, 11,174.82 and 7,098.40 is: 9,813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.88 : 11,174.82 = 7,098.40 : x
  2. Step 2: Convert to fraction form
    8,082.88/11,174.82 = 7,098.40/x
  3. Step 3: Cross multiply
    8,082.88x = 11,174.82 × 7,098.40
  4. Step 4: Simplify right side
    8,082.88x = 79,323,342.29
  5. Step 5: Solve for x
    x = 79,323,342.29/8,082.88
  6. Step 6: Final answer
    x = 9,813.75

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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.