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Finding the Fourth Proportional to 12,149.70, 18,223.08 and 5,223.30

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Solution

The fourth proportional to 12,149.70, 18,223.08 and 5,223.30 is: 7,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.70 : 18,223.08 = 5,223.30 : x
  2. Step 2: Convert to fraction form
    12,149.70/18,223.08 = 5,223.30/x
  3. Step 3: Cross multiply
    12,149.70x = 18,223.08 × 5,223.30
  4. Step 4: Simplify right side
    12,149.70x = 95,184,613.76
  5. Step 5: Solve for x
    x = 95,184,613.76/12,149.70
  6. Step 6: Final answer
    x = 7,834.32

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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.