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Finding the Fourth Proportional to 10,119.75, 13,974.07 and 6,349.40

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Solution

The fourth proportional to 10,119.75, 13,974.07 and 6,349.40 is: 8,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.75 : 13,974.07 = 6,349.40 : x
  2. Step 2: Convert to fraction form
    10,119.75/13,974.07 = 6,349.40/x
  3. Step 3: Cross multiply
    10,119.75x = 13,974.07 × 6,349.40
  4. Step 4: Simplify right side
    10,119.75x = 88,726,960.06
  5. Step 5: Solve for x
    x = 88,726,960.06/10,119.75
  6. Step 6: Final answer
    x = 8,767.70

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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.