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Finding the Fourth Proportional to 14,229.92, 19,632.72 and 7,941.12

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Solution

The fourth proportional to 14,229.92, 19,632.72 and 7,941.12 is: 10,956.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229.92 : 19,632.72 = 7,941.12 : x
  2. Step 2: Convert to fraction form
    14,229.92/19,632.72 = 7,941.12/x
  3. Step 3: Cross multiply
    14,229.92x = 19,632.72 × 7,941.12
  4. Step 4: Simplify right side
    14,229.92x = 155,905,785.45
  5. Step 5: Solve for x
    x = 155,905,785.45/14,229.92
  6. Step 6: Final answer
    x = 10,956.20

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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.