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Finding the Fourth Proportional to 8,489.60, 11,717.48 and 6,478.24

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Solution

The fourth proportional to 8,489.60, 11,717.48 and 6,478.24 is: 8,941.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.60 : 11,717.48 = 6,478.24 : x
  2. Step 2: Convert to fraction form
    8,489.60/11,717.48 = 6,478.24/x
  3. Step 3: Cross multiply
    8,489.60x = 11,717.48 × 6,478.24
  4. Step 4: Simplify right side
    8,489.60x = 75,908,556.66
  5. Step 5: Solve for x
    x = 75,908,556.66/8,489.60
  6. Step 6: Final answer
    x = 8,941.36

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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.