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Finding the Fourth Proportional to 11,597, 15,996.78 and 6,878.12

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Solution

The fourth proportional to 11,597, 15,996.78 and 6,878.12 is: 9,487.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597 : 15,996.78 = 6,878.12 : x
  2. Step 2: Convert to fraction form
    11,597/15,996.78 = 6,878.12/x
  3. Step 3: Cross multiply
    11,597x = 15,996.78 × 6,878.12
  4. Step 4: Simplify right side
    11,597x = 110,027,772.45
  5. Step 5: Solve for x
    x = 110,027,772.45/11,597
  6. Step 6: Final answer
    x = 9,487.61

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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.