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Finding the Fourth Proportional to 12,378, 17,082.54 and 7,072.70

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Solution

The fourth proportional to 12,378, 17,082.54 and 7,072.70 is: 9,760.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378 : 17,082.54 = 7,072.70 : x
  2. Step 2: Convert to fraction form
    12,378/17,082.54 = 7,072.70/x
  3. Step 3: Cross multiply
    12,378x = 17,082.54 × 7,072.70
  4. Step 4: Simplify right side
    12,378x = 120,819,595.25
  5. Step 5: Solve for x
    x = 120,819,595.25/12,378
  6. Step 6: Final answer
    x = 9,760.83

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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.