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Finding the Fourth Proportional to 20,888.98, 31,340.49 and 7,742.41

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Solution

The fourth proportional to 20,888.98, 31,340.49 and 7,742.41 is: 11,616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,888.98 : 31,340.49 = 7,742.41 : x
  2. Step 2: Convert to fraction form
    20,888.98/31,340.49 = 7,742.41/x
  3. Step 3: Cross multiply
    20,888.98x = 31,340.49 × 7,742.41
  4. Step 4: Simplify right side
    20,888.98x = 242,650,923.18
  5. Step 5: Solve for x
    x = 242,650,923.18/20,888.98
  6. Step 6: Final answer
    x = 11,616.22

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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.