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Finding the Fourth Proportional to 10,885.50, 15,022.11 and 5,917.50

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Solution

The fourth proportional to 10,885.50, 15,022.11 and 5,917.50 is: 8,166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.50 : 15,022.11 = 5,917.50 : x
  2. Step 2: Convert to fraction form
    10,885.50/15,022.11 = 5,917.50/x
  3. Step 3: Cross multiply
    10,885.50x = 15,022.11 × 5,917.50
  4. Step 4: Simplify right side
    10,885.50x = 88,893,335.93
  5. Step 5: Solve for x
    x = 88,893,335.93/10,885.50
  6. Step 6: Final answer
    x = 8,166.22

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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.