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Finding the Fourth Proportional to 8,643.68, 11,932.32 and 5,659.64

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Solution

The fourth proportional to 8,643.68, 11,932.32 and 5,659.64 is: 7,812.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.68 : 11,932.32 = 5,659.64 : x
  2. Step 2: Convert to fraction form
    8,643.68/11,932.32 = 5,659.64/x
  3. Step 3: Cross multiply
    8,643.68x = 11,932.32 × 5,659.64
  4. Step 4: Simplify right side
    8,643.68x = 67,532,635.56
  5. Step 5: Solve for x
    x = 67,532,635.56/8,643.68
  6. Step 6: Final answer
    x = 7,812.95

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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.