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Finding the Fourth Proportional to 25,975.85, 38,969.71 and 8,206.41

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Solution

The fourth proportional to 25,975.85, 38,969.71 and 8,206.41 is: 12,311.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,975.85 : 38,969.71 = 8,206.41 : x
  2. Step 2: Convert to fraction form
    25,975.85/38,969.71 = 8,206.41/x
  3. Step 3: Cross multiply
    25,975.85x = 38,969.71 × 8,206.41
  4. Step 4: Simplify right side
    25,975.85x = 319,801,543.46
  5. Step 5: Solve for x
    x = 319,801,543.46/25,975.85
  6. Step 6: Final answer
    x = 12,311.49

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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.