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Finding the Fourth Proportional to 12,586.96, 18,868.12 and 5,197.65

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Solution

The fourth proportional to 12,586.96, 18,868.12 and 5,197.65 is: 7,791.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.96 : 18,868.12 = 5,197.65 : x
  2. Step 2: Convert to fraction form
    12,586.96/18,868.12 = 5,197.65/x
  3. Step 3: Cross multiply
    12,586.96x = 18,868.12 × 5,197.65
  4. Step 4: Simplify right side
    12,586.96x = 98,069,883.92
  5. Step 5: Solve for x
    x = 98,069,883.92/12,586.96
  6. Step 6: Final answer
    x = 7,791.39

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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.