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Finding the Fourth Proportional to 12,442.38, 17,170.48 and 6,853.38

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Solution

The fourth proportional to 12,442.38, 17,170.48 and 6,853.38 is: 9,457.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.38 : 17,170.48 = 6,853.38 : x
  2. Step 2: Convert to fraction form
    12,442.38/17,170.48 = 6,853.38/x
  3. Step 3: Cross multiply
    12,442.38x = 17,170.48 × 6,853.38
  4. Step 4: Simplify right side
    12,442.38x = 117,675,824.22
  5. Step 5: Solve for x
    x = 117,675,824.22/12,442.38
  6. Step 6: Final answer
    x = 9,457.66

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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.