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Finding the Fourth Proportional to 12,188.70, 18,281.70 and 3,423.96

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Solution

The fourth proportional to 12,188.70, 18,281.70 and 3,423.96 is: 5,135.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.70 : 18,281.70 = 3,423.96 : x
  2. Step 2: Convert to fraction form
    12,188.70/18,281.70 = 3,423.96/x
  3. Step 3: Cross multiply
    12,188.70x = 18,281.70 × 3,423.96
  4. Step 4: Simplify right side
    12,188.70x = 62,595,809.53
  5. Step 5: Solve for x
    x = 62,595,809.53/12,188.70
  6. Step 6: Final answer
    x = 5,135.56

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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.