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Finding the Fourth Proportional to 10,850.64, 14,974.20 and 6,134.88

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Solution

The fourth proportional to 10,850.64, 14,974.20 and 6,134.88 is: 8,466.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.64 : 14,974.20 = 6,134.88 : x
  2. Step 2: Convert to fraction form
    10,850.64/14,974.20 = 6,134.88/x
  3. Step 3: Cross multiply
    10,850.64x = 14,974.20 × 6,134.88
  4. Step 4: Simplify right side
    10,850.64x = 91,864,920.10
  5. Step 5: Solve for x
    x = 91,864,920.10/10,850.64
  6. Step 6: Final answer
    x = 8,466.31

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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.