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Finding the Fourth Proportional to 12,732.40, 19,082.40 and 6,144.40

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Solution

The fourth proportional to 12,732.40, 19,082.40 and 6,144.40 is: 9,208.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.40 : 19,082.40 = 6,144.40 : x
  2. Step 2: Convert to fraction form
    12,732.40/19,082.40 = 6,144.40/x
  3. Step 3: Cross multiply
    12,732.40x = 19,082.40 × 6,144.40
  4. Step 4: Simplify right side
    12,732.40x = 117,249,898.56
  5. Step 5: Solve for x
    x = 117,249,898.56/12,732.40
  6. Step 6: Final answer
    x = 9,208.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.