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Finding the Fourth Proportional to 8,346.50, 11,456.79 and 7,381.14

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Solution

The fourth proportional to 8,346.50, 11,456.79 and 7,381.14 is: 10,131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346.50 : 11,456.79 = 7,381.14 : x
  2. Step 2: Convert to fraction form
    8,346.50/11,456.79 = 7,381.14/x
  3. Step 3: Cross multiply
    8,346.50x = 11,456.79 × 7,381.14
  4. Step 4: Simplify right side
    8,346.50x = 84,564,170.94
  5. Step 5: Solve for x
    x = 84,564,170.94/8,346.50
  6. Step 6: Final answer
    x = 10,131.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.