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Finding the Fourth Proportional to 24,421.80, 36,632.29 and 7,781.60

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Solution

The fourth proportional to 24,421.80, 36,632.29 and 7,781.60 is: 11,672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,421.80 : 36,632.29 = 7,781.60 : x
  2. Step 2: Convert to fraction form
    24,421.80/36,632.29 = 7,781.60/x
  3. Step 3: Cross multiply
    24,421.80x = 36,632.29 × 7,781.60
  4. Step 4: Simplify right side
    24,421.80x = 285,057,827.86
  5. Step 5: Solve for x
    x = 285,057,827.86/24,421.80
  6. Step 6: Final answer
    x = 11,672.27

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