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Finding the Fourth Proportional to 8,894.63, 12,277.17 and 5,120.46

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Solution

The fourth proportional to 8,894.63, 12,277.17 and 5,120.46 is: 7,067.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.63 : 12,277.17 = 5,120.46 : x
  2. Step 2: Convert to fraction form
    8,894.63/12,277.17 = 5,120.46/x
  3. Step 3: Cross multiply
    8,894.63x = 12,277.17 × 5,120.46
  4. Step 4: Simplify right side
    8,894.63x = 62,864,757.90
  5. Step 5: Solve for x
    x = 62,864,757.90/8,894.63
  6. Step 6: Final answer
    x = 7,067.72

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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.