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Finding the Fourth Proportional to 11,414.57, 15,751.07 and 6,378.08

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Solution

The fourth proportional to 11,414.57, 15,751.07 and 6,378.08 is: 8,801.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.57 : 15,751.07 = 6,378.08 : x
  2. Step 2: Convert to fraction form
    11,414.57/15,751.07 = 6,378.08/x
  3. Step 3: Cross multiply
    11,414.57x = 15,751.07 × 6,378.08
  4. Step 4: Simplify right side
    11,414.57x = 100,461,473.90
  5. Step 5: Solve for x
    x = 100,461,473.90/11,414.57
  6. Step 6: Final answer
    x = 8,801.17

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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.