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Finding the Fourth Proportional to 12,203.90, 16,841.40 and 6,614.90

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Solution

The fourth proportional to 12,203.90, 16,841.40 and 6,614.90 is: 9,128.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.90 : 16,841.40 = 6,614.90 : x
  2. Step 2: Convert to fraction form
    12,203.90/16,841.40 = 6,614.90/x
  3. Step 3: Cross multiply
    12,203.90x = 16,841.40 × 6,614.90
  4. Step 4: Simplify right side
    12,203.90x = 111,404,176.86
  5. Step 5: Solve for x
    x = 111,404,176.86/12,203.90
  6. Step 6: Final answer
    x = 9,128.57

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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.