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Finding the Fourth Proportional to 12,225.42, 16,866.51 and 7,189.90

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Solution

The fourth proportional to 12,225.42, 16,866.51 and 7,189.90 is: 9,919.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.42 : 16,866.51 = 7,189.90 : x
  2. Step 2: Convert to fraction form
    12,225.42/16,866.51 = 7,189.90/x
  3. Step 3: Cross multiply
    12,225.42x = 16,866.51 × 7,189.90
  4. Step 4: Simplify right side
    12,225.42x = 121,268,520.25
  5. Step 5: Solve for x
    x = 121,268,520.25/12,225.42
  6. Step 6: Final answer
    x = 9,919.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.