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Finding the Fourth Proportional to 8,113.10, 12,110.96 and 7,128.95

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Solution

The fourth proportional to 8,113.10, 12,110.96 and 7,128.95 is: 10,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.10 : 12,110.96 = 7,128.95 : x
  2. Step 2: Convert to fraction form
    8,113.10/12,110.96 = 7,128.95/x
  3. Step 3: Cross multiply
    8,113.10x = 12,110.96 × 7,128.95
  4. Step 4: Simplify right side
    8,113.10x = 86,338,428.29
  5. Step 5: Solve for x
    x = 86,338,428.29/8,113.10
  6. Step 6: Final answer
    x = 10,641.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.