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Finding the Fourth Proportional to 9,510, 14,195.34 and 8,387.76

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Solution

The fourth proportional to 9,510, 14,195.34 and 8,387.76 is: 12,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510 : 14,195.34 = 8,387.76 : x
  2. Step 2: Convert to fraction form
    9,510/14,195.34 = 8,387.76/x
  3. Step 3: Cross multiply
    9,510x = 14,195.34 × 8,387.76
  4. Step 4: Simplify right side
    9,510x = 119,067,105.04
  5. Step 5: Solve for x
    x = 119,067,105.04/9,510
  6. Step 6: Final answer
    x = 12,520.20

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.