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Finding the Fourth Proportional to 12,442.66, 17,170.87 and 6,853.66

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Solution

The fourth proportional to 12,442.66, 17,170.87 and 6,853.66 is: 9,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.66 : 17,170.87 = 6,853.66 : x
  2. Step 2: Convert to fraction form
    12,442.66/17,170.87 = 6,853.66/x
  3. Step 3: Cross multiply
    12,442.66x = 17,170.87 × 6,853.66
  4. Step 4: Simplify right side
    12,442.66x = 117,683,304.88
  5. Step 5: Solve for x
    x = 117,683,304.88/12,442.66
  6. Step 6: Final answer
    x = 9,458.05

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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.