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Finding the Fourth Proportional to 10,917.10, 16,375.65 and 7,461.10

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Solution

The fourth proportional to 10,917.10, 16,375.65 and 7,461.10 is: 11,191.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.10 : 16,375.65 = 7,461.10 : x
  2. Step 2: Convert to fraction form
    10,917.10/16,375.65 = 7,461.10/x
  3. Step 3: Cross multiply
    10,917.10x = 16,375.65 × 7,461.10
  4. Step 4: Simplify right side
    10,917.10x = 122,180,362.22
  5. Step 5: Solve for x
    x = 122,180,362.22/10,917.10
  6. Step 6: Final answer
    x = 11,191.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.