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Finding the Fourth Proportional to 8,448.96, 11,643.12 and 6,086.64

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Solution

The fourth proportional to 8,448.96, 11,643.12 and 6,086.64 is: 8,387.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,448.96 : 11,643.12 = 6,086.64 : x
  2. Step 2: Convert to fraction form
    8,448.96/11,643.12 = 6,086.64/x
  3. Step 3: Cross multiply
    8,448.96x = 11,643.12 × 6,086.64
  4. Step 4: Simplify right side
    8,448.96x = 70,867,479.92
  5. Step 5: Solve for x
    x = 70,867,479.92/8,448.96
  6. Step 6: Final answer
    x = 8,387.72

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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.