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Finding the Fourth Proportional to 25,685.26, 38,530.94 and 9,886.61

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Solution

The fourth proportional to 25,685.26, 38,530.94 and 9,886.61 is: 14,831.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,685.26 : 38,530.94 = 9,886.61 : x
  2. Step 2: Convert to fraction form
    25,685.26/38,530.94 = 9,886.61/x
  3. Step 3: Cross multiply
    25,685.26x = 38,530.94 × 9,886.61
  4. Step 4: Simplify right side
    25,685.26x = 380,940,423.61
  5. Step 5: Solve for x
    x = 380,940,423.61/25,685.26
  6. Step 6: Final answer
    x = 14,831.09

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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.