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Finding the Fourth Proportional to 25,338, 38,007.72 and 6,870

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Solution

The fourth proportional to 25,338, 38,007.72 and 6,870 is: 10,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,338 : 38,007.72 = 6,870 : x
  2. Step 2: Convert to fraction form
    25,338/38,007.72 = 6,870/x
  3. Step 3: Cross multiply
    25,338x = 38,007.72 × 6,870
  4. Step 4: Simplify right side
    25,338x = 261,113,036.40
  5. Step 5: Solve for x
    x = 261,113,036.40/25,338
  6. Step 6: Final answer
    x = 10,305.20

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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.