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Finding the Fourth Proportional to 21,781.04, 32,674.80 and 7,739.90

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Solution

The fourth proportional to 21,781.04, 32,674.80 and 7,739.90 is: 11,611.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,781.04 : 32,674.80 = 7,739.90 : x
  2. Step 2: Convert to fraction form
    21,781.04/32,674.80 = 7,739.90/x
  3. Step 3: Cross multiply
    21,781.04x = 32,674.80 × 7,739.90
  4. Step 4: Simplify right side
    21,781.04x = 252,899,684.52
  5. Step 5: Solve for x
    x = 252,899,684.52/21,781.04
  6. Step 6: Final answer
    x = 11,611.00

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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.