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Finding the Fourth Proportional to 12,221.25, 16,865.34 and 6,632.25

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Solution

The fourth proportional to 12,221.25, 16,865.34 and 6,632.25 is: 9,152.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.25 : 16,865.34 = 6,632.25 : x
  2. Step 2: Convert to fraction form
    12,221.25/16,865.34 = 6,632.25/x
  3. Step 3: Cross multiply
    12,221.25x = 16,865.34 × 6,632.25
  4. Step 4: Simplify right side
    12,221.25x = 111,855,151.22
  5. Step 5: Solve for x
    x = 111,855,151.22/12,221.25
  6. Step 6: Final answer
    x = 9,152.51

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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.