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Finding the Fourth Proportional to 11,307.70, 15,616.83 and 8,819.38

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Solution

The fourth proportional to 11,307.70, 15,616.83 and 8,819.38 is: 12,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307.70 : 15,616.83 = 8,819.38 : x
  2. Step 2: Convert to fraction form
    11,307.70/15,616.83 = 8,819.38/x
  3. Step 3: Cross multiply
    11,307.70x = 15,616.83 × 8,819.38
  4. Step 4: Simplify right side
    11,307.70x = 137,730,758.17
  5. Step 5: Solve for x
    x = 137,730,758.17/11,307.70
  6. Step 6: Final answer
    x = 12,180.26

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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.