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Finding the Fourth Proportional to 11,536.88, 15,932.58 and 9,940.28

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Solution

The fourth proportional to 11,536.88, 15,932.58 and 9,940.28 is: 13,727.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.88 : 15,932.58 = 9,940.28 : x
  2. Step 2: Convert to fraction form
    11,536.88/15,932.58 = 9,940.28/x
  3. Step 3: Cross multiply
    11,536.88x = 15,932.58 × 9,940.28
  4. Step 4: Simplify right side
    11,536.88x = 158,374,306.32
  5. Step 5: Solve for x
    x = 158,374,306.32/11,536.88
  6. Step 6: Final answer
    x = 13,727.65

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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.