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Finding the Fourth Proportional to 8,343.82, 11,488.22 and 7,082.24

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Solution

The fourth proportional to 8,343.82, 11,488.22 and 7,082.24 is: 9,751.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.82 : 11,488.22 = 7,082.24 : x
  2. Step 2: Convert to fraction form
    8,343.82/11,488.22 = 7,082.24/x
  3. Step 3: Cross multiply
    8,343.82x = 11,488.22 × 7,082.24
  4. Step 4: Simplify right side
    8,343.82x = 81,362,331.21
  5. Step 5: Solve for x
    x = 81,362,331.21/8,343.82
  6. Step 6: Final answer
    x = 9,751.21

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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.