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Finding the Fourth Proportional to 32,405.75, 48,608.63 and 7,781.75

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Solution

The fourth proportional to 32,405.75, 48,608.63 and 7,781.75 is: 11,672.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,405.75 : 48,608.63 = 7,781.75 : x
  2. Step 2: Convert to fraction form
    32,405.75/48,608.63 = 7,781.75/x
  3. Step 3: Cross multiply
    32,405.75x = 48,608.63 × 7,781.75
  4. Step 4: Simplify right side
    32,405.75x = 378,260,206.50
  5. Step 5: Solve for x
    x = 378,260,206.50/32,405.75
  6. Step 6: Final answer
    x = 11,672.63

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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.