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Finding the Fourth Proportional to 12,442.68, 17,170.20 and 7,137

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Solution

The fourth proportional to 12,442.68, 17,170.20 and 7,137 is: 9,848.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.68 : 17,170.20 = 7,137 : x
  2. Step 2: Convert to fraction form
    12,442.68/17,170.20 = 7,137/x
  3. Step 3: Cross multiply
    12,442.68x = 17,170.20 × 7,137
  4. Step 4: Simplify right side
    12,442.68x = 122,543,717.40
  5. Step 5: Solve for x
    x = 122,543,717.40/12,442.68
  6. Step 6: Final answer
    x = 9,848.66

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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.