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Finding the Fourth Proportional to 12,969.28, 19,472.19 and 6,648.76

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Solution

The fourth proportional to 12,969.28, 19,472.19 and 6,648.76 is: 9,982.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.28 : 19,472.19 = 6,648.76 : x
  2. Step 2: Convert to fraction form
    12,969.28/19,472.19 = 6,648.76/x
  3. Step 3: Cross multiply
    12,969.28x = 19,472.19 × 6,648.76
  4. Step 4: Simplify right side
    12,969.28x = 129,465,917.98
  5. Step 5: Solve for x
    x = 129,465,917.98/12,969.28
  6. Step 6: Final answer
    x = 9,982.51

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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.