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Finding the Fourth Proportional to 12,378.65, 17,082.21 and 7,073.46

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Solution

The fourth proportional to 12,378.65, 17,082.21 and 7,073.46 is: 9,761.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.65 : 17,082.21 = 7,073.46 : x
  2. Step 2: Convert to fraction form
    12,378.65/17,082.21 = 7,073.46/x
  3. Step 3: Cross multiply
    12,378.65x = 17,082.21 × 7,073.46
  4. Step 4: Simplify right side
    12,378.65x = 120,830,361.18
  5. Step 5: Solve for x
    x = 120,830,361.18/12,378.65
  6. Step 6: Final answer
    x = 9,761.19

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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.