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Finding the Fourth Proportional to 8,902.14, 12,289.59 and 8,313.18

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Solution

The fourth proportional to 8,902.14, 12,289.59 and 8,313.18 is: 11,476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.14 : 12,289.59 = 8,313.18 : x
  2. Step 2: Convert to fraction form
    8,902.14/12,289.59 = 8,313.18/x
  3. Step 3: Cross multiply
    8,902.14x = 12,289.59 × 8,313.18
  4. Step 4: Simplify right side
    8,902.14x = 102,165,573.80
  5. Step 5: Solve for x
    x = 102,165,573.80/8,902.14
  6. Step 6: Final answer
    x = 11,476.52

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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.