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Finding the Fourth Proportional to 9,077, 12,519.88 and 8,772.20

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Solution

The fourth proportional to 9,077, 12,519.88 and 8,772.20 is: 12,099.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077 : 12,519.88 = 8,772.20 : x
  2. Step 2: Convert to fraction form
    9,077/12,519.88 = 8,772.20/x
  3. Step 3: Cross multiply
    9,077x = 12,519.88 × 8,772.20
  4. Step 4: Simplify right side
    9,077x = 109,826,891.34
  5. Step 5: Solve for x
    x = 109,826,891.34/9,077
  6. Step 6: Final answer
    x = 12,099.47

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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.