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Finding the Fourth Proportional to 25,815.34, 38,726.61 and 8,290.54

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Solution

The fourth proportional to 25,815.34, 38,726.61 and 8,290.54 is: 12,436.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,815.34 : 38,726.61 = 8,290.54 : x
  2. Step 2: Convert to fraction form
    25,815.34/38,726.61 = 8,290.54/x
  3. Step 3: Cross multiply
    25,815.34x = 38,726.61 × 8,290.54
  4. Step 4: Simplify right side
    25,815.34x = 321,064,509.27
  5. Step 5: Solve for x
    x = 321,064,509.27/25,815.34
  6. Step 6: Final answer
    x = 12,436.97

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1.5x scale

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.