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Finding the Fourth Proportional to 7,805.60, 11,712.96 and 3,422.88

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Solution

The fourth proportional to 7,805.60, 11,712.96 and 3,422.88 is: 5,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.60 : 11,712.96 = 3,422.88 : x
  2. Step 2: Convert to fraction form
    7,805.60/11,712.96 = 3,422.88/x
  3. Step 3: Cross multiply
    7,805.60x = 11,712.96 × 3,422.88
  4. Step 4: Simplify right side
    7,805.60x = 40,092,056.52
  5. Step 5: Solve for x
    x = 40,092,056.52/7,805.60
  6. Step 6: Final answer
    x = 5,136.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.