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Finding the Fourth Proportional to 25,347.42, 38,021.13 and 7,817.31

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Solution

The fourth proportional to 25,347.42, 38,021.13 and 7,817.31 is: 11,725.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,347.42 : 38,021.13 = 7,817.31 : x
  2. Step 2: Convert to fraction form
    25,347.42/38,021.13 = 7,817.31/x
  3. Step 3: Cross multiply
    25,347.42x = 38,021.13 × 7,817.31
  4. Step 4: Simplify right side
    25,347.42x = 297,222,959.76
  5. Step 5: Solve for x
    x = 297,222,959.76/25,347.42
  6. Step 6: Final answer
    x = 11,725.97

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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.