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Finding the Fourth Proportional to 25,806.36, 38,714.98 and 8,288.48

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Solution

The fourth proportional to 25,806.36, 38,714.98 and 8,288.48 is: 12,434.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,806.36 : 38,714.98 = 8,288.48 : x
  2. Step 2: Convert to fraction form
    25,806.36/38,714.98 = 8,288.48/x
  3. Step 3: Cross multiply
    25,806.36x = 38,714.98 × 8,288.48
  4. Step 4: Simplify right side
    25,806.36x = 320,888,337.43
  5. Step 5: Solve for x
    x = 320,888,337.43/25,806.36
  6. Step 6: Final answer
    x = 12,434.47

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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.