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Finding the Fourth Proportional to 25,538.36, 38,302 and 8,005.88

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Solution

The fourth proportional to 25,538.36, 38,302 and 8,005.88 is: 12,007.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,538.36 : 38,302 = 8,005.88 : x
  2. Step 2: Convert to fraction form
    25,538.36/38,302 = 8,005.88/x
  3. Step 3: Cross multiply
    25,538.36x = 38,302 × 8,005.88
  4. Step 4: Simplify right side
    25,538.36x = 306,641,215.76
  5. Step 5: Solve for x
    x = 306,641,215.76/25,538.36
  6. Step 6: Final answer
    x = 12,007.08

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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.