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Finding the Fourth Proportional to 21,959.76, 32,910.48 and 14,047.68

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Solution

The fourth proportional to 21,959.76, 32,910.48 and 14,047.68 is: 21,052.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,959.76 : 32,910.48 = 14,047.68 : x
  2. Step 2: Convert to fraction form
    21,959.76/32,910.48 = 14,047.68/x
  3. Step 3: Cross multiply
    21,959.76x = 32,910.48 × 14,047.68
  4. Step 4: Simplify right side
    21,959.76x = 462,315,891.69
  5. Step 5: Solve for x
    x = 462,315,891.69/21,959.76
  6. Step 6: Final answer
    x = 21,052.87

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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.