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Finding the Fourth Proportional to 9,953.28, 14,929.92 and 8,305.74

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Solution

The fourth proportional to 9,953.28, 14,929.92 and 8,305.74 is: 12,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.28 : 14,929.92 = 8,305.74 : x
  2. Step 2: Convert to fraction form
    9,953.28/14,929.92 = 8,305.74/x
  3. Step 3: Cross multiply
    9,953.28x = 14,929.92 × 8,305.74
  4. Step 4: Simplify right side
    9,953.28x = 124,004,033.74
  5. Step 5: Solve for x
    x = 124,004,033.74/9,953.28
  6. Step 6: Final answer
    x = 12,458.61

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Similar ratio
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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.