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Finding the Fourth Proportional to 12,377.70, 18,530.10 and 8,222.40

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Solution

The fourth proportional to 12,377.70, 18,530.10 and 8,222.40 is: 12,309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.70 : 18,530.10 = 8,222.40 : x
  2. Step 2: Convert to fraction form
    12,377.70/18,530.10 = 8,222.40/x
  3. Step 3: Cross multiply
    12,377.70x = 18,530.10 × 8,222.40
  4. Step 4: Simplify right side
    12,377.70x = 152,361,894.24
  5. Step 5: Solve for x
    x = 152,361,894.24/12,377.70
  6. Step 6: Final answer
    x = 12,309.39

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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.