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Finding the Fourth Proportional to 8,803.50, 12,149.91 and 5,077.50

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Solution

The fourth proportional to 8,803.50, 12,149.91 and 5,077.50 is: 7,007.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,803.50 : 12,149.91 = 5,077.50 : x
  2. Step 2: Convert to fraction form
    8,803.50/12,149.91 = 5,077.50/x
  3. Step 3: Cross multiply
    8,803.50x = 12,149.91 × 5,077.50
  4. Step 4: Simplify right side
    8,803.50x = 61,691,168.03
  5. Step 5: Solve for x
    x = 61,691,168.03/8,803.50
  6. Step 6: Final answer
    x = 7,007.57

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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.