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Finding the Fourth Proportional to 8,643.28, 11,917.92 and 7,514.32

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Solution

The fourth proportional to 8,643.28, 11,917.92 and 7,514.32 is: 10,361.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.28 : 11,917.92 = 7,514.32 : x
  2. Step 2: Convert to fraction form
    8,643.28/11,917.92 = 7,514.32/x
  3. Step 3: Cross multiply
    8,643.28x = 11,917.92 × 7,514.32
  4. Step 4: Simplify right side
    8,643.28x = 89,555,064.61
  5. Step 5: Solve for x
    x = 89,555,064.61/8,643.28
  6. Step 6: Final answer
    x = 10,361.24

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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.