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Finding the Fourth Proportional to 8,510.67, 11,748.11 and 8,287.11

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Solution

The fourth proportional to 8,510.67, 11,748.11 and 8,287.11 is: 11,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.67 : 11,748.11 = 8,287.11 : x
  2. Step 2: Convert to fraction form
    8,510.67/11,748.11 = 8,287.11/x
  3. Step 3: Cross multiply
    8,510.67x = 11,748.11 × 8,287.11
  4. Step 4: Simplify right side
    8,510.67x = 97,357,838.43
  5. Step 5: Solve for x
    x = 97,357,838.43/8,510.67
  6. Step 6: Final answer
    x = 11,439.50

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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.