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Finding the Fourth Proportional to 11,414.58, 15,751.94 and 6,378.90

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Solution

The fourth proportional to 11,414.58, 15,751.94 and 6,378.90 is: 8,802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.58 : 15,751.94 = 6,378.90 : x
  2. Step 2: Convert to fraction form
    11,414.58/15,751.94 = 6,378.90/x
  3. Step 3: Cross multiply
    11,414.58x = 15,751.94 × 6,378.90
  4. Step 4: Simplify right side
    11,414.58x = 100,480,050.07
  5. Step 5: Solve for x
    x = 100,480,050.07/11,414.58
  6. Step 6: Final answer
    x = 8,802.78

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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.