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Finding the Fourth Proportional to 8,678.50, 11,997.93 and 8,311.30

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Solution

The fourth proportional to 8,678.50, 11,997.93 and 8,311.30 is: 11,490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.50 : 11,997.93 = 8,311.30 : x
  2. Step 2: Convert to fraction form
    8,678.50/11,997.93 = 8,311.30/x
  3. Step 3: Cross multiply
    8,678.50x = 11,997.93 × 8,311.30
  4. Step 4: Simplify right side
    8,678.50x = 99,718,395.61
  5. Step 5: Solve for x
    x = 99,718,395.61/8,678.50
  6. Step 6: Final answer
    x = 11,490.28

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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.