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Finding the Fourth Proportional to 9,953.28, 14,981.76 and 8,449.92

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Solution

The fourth proportional to 9,953.28, 14,981.76 and 8,449.92 is: 12,718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.28 : 14,981.76 = 8,449.92 : x
  2. Step 2: Convert to fraction form
    9,953.28/14,981.76 = 8,449.92/x
  3. Step 3: Cross multiply
    9,953.28x = 14,981.76 × 8,449.92
  4. Step 4: Simplify right side
    9,953.28x = 126,594,673.46
  5. Step 5: Solve for x
    x = 126,594,673.46/9,953.28
  6. Step 6: Final answer
    x = 12,718.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.