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Finding the Fourth Proportional to 14,290.38, 21,444 and 6,902.46

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Solution

The fourth proportional to 14,290.38, 21,444 and 6,902.46 is: 10,357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,290.38 : 21,444 = 6,902.46 : x
  2. Step 2: Convert to fraction form
    14,290.38/21,444 = 6,902.46/x
  3. Step 3: Cross multiply
    14,290.38x = 21,444 × 6,902.46
  4. Step 4: Simplify right side
    14,290.38x = 148,016,352.24
  5. Step 5: Solve for x
    x = 148,016,352.24/14,290.38
  6. Step 6: Final answer
    x = 10,357.76

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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.