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Finding the Fourth Proportional to 12,948.64, 17,863.92 and 7,358.56

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Solution

The fourth proportional to 12,948.64, 17,863.92 and 7,358.56 is: 10,151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,948.64 : 17,863.92 = 7,358.56 : x
  2. Step 2: Convert to fraction form
    12,948.64/17,863.92 = 7,358.56/x
  3. Step 3: Cross multiply
    12,948.64x = 17,863.92 × 7,358.56
  4. Step 4: Simplify right side
    12,948.64x = 131,452,727.16
  5. Step 5: Solve for x
    x = 131,452,727.16/12,948.64
  6. Step 6: Final answer
    x = 10,151.86

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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.