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Finding the Fourth Proportional to 11,510.76, 15,882.63 and 8,329.02

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Solution

The fourth proportional to 11,510.76, 15,882.63 and 8,329.02 is: 11,492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.76 : 15,882.63 = 8,329.02 : x
  2. Step 2: Convert to fraction form
    11,510.76/15,882.63 = 8,329.02/x
  3. Step 3: Cross multiply
    11,510.76x = 15,882.63 × 8,329.02
  4. Step 4: Simplify right side
    11,510.76x = 132,286,742.92
  5. Step 5: Solve for x
    x = 132,286,742.92/11,510.76
  6. Step 6: Final answer
    x = 11,492.44

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Half scale
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Double scale
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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.