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Finding the Fourth Proportional to 21,842.86, 32,758.87 and 9,361.47

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Solution

The fourth proportional to 21,842.86, 32,758.87 and 9,361.47 is: 14,039.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,842.86 : 32,758.87 = 9,361.47 : x
  2. Step 2: Convert to fraction form
    21,842.86/32,758.87 = 9,361.47/x
  3. Step 3: Cross multiply
    21,842.86x = 32,758.87 × 9,361.47
  4. Step 4: Simplify right side
    21,842.86x = 306,671,178.74
  5. Step 5: Solve for x
    x = 306,671,178.74/21,842.86
  6. Step 6: Final answer
    x = 14,039.88

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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.