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Finding the Fourth Proportional to 25,347.28, 38,018.36 and 8,930

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Solution

The fourth proportional to 25,347.28, 38,018.36 and 8,930 is: 13,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,347.28 : 38,018.36 = 8,930 : x
  2. Step 2: Convert to fraction form
    25,347.28/38,018.36 = 8,930/x
  3. Step 3: Cross multiply
    25,347.28x = 38,018.36 × 8,930
  4. Step 4: Simplify right side
    25,347.28x = 339,503,954.80
  5. Step 5: Solve for x
    x = 339,503,954.80/25,347.28
  6. Step 6: Final answer
    x = 13,394.10

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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.