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Finding the Fourth Proportional to 11,375, 15,697.50 and 7,186.76

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Solution

The fourth proportional to 11,375, 15,697.50 and 7,186.76 is: 9,917.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375 : 15,697.50 = 7,186.76 : x
  2. Step 2: Convert to fraction form
    11,375/15,697.50 = 7,186.76/x
  3. Step 3: Cross multiply
    11,375x = 15,697.50 × 7,186.76
  4. Step 4: Simplify right side
    11,375x = 112,814,165.10
  5. Step 5: Solve for x
    x = 112,814,165.10/11,375
  6. Step 6: Final answer
    x = 9,917.73

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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.