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Finding the Fourth Proportional to 10,918, 15,066.88 and 5,950

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Solution

The fourth proportional to 10,918, 15,066.88 and 5,950 is: 8,211.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,918 : 15,066.88 = 5,950 : x
  2. Step 2: Convert to fraction form
    10,918/15,066.88 = 5,950/x
  3. Step 3: Cross multiply
    10,918x = 15,066.88 × 5,950
  4. Step 4: Simplify right side
    10,918x = 89,647,936
  5. Step 5: Solve for x
    x = 89,647,936/10,918
  6. Step 6: Final answer
    x = 8,211.02

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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.