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Finding the Fourth Proportional to 25,650, 38,479.50 and 12,311.55

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Solution

The fourth proportional to 25,650, 38,479.50 and 12,311.55 is: 18,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,650 : 38,479.50 = 12,311.55 : x
  2. Step 2: Convert to fraction form
    25,650/38,479.50 = 12,311.55/x
  3. Step 3: Cross multiply
    25,650x = 38,479.50 × 12,311.55
  4. Step 4: Simplify right side
    25,650x = 473,742,288.23
  5. Step 5: Solve for x
    x = 473,742,288.23/25,650
  6. Step 6: Final answer
    x = 18,469.48

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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.