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Finding the Fourth Proportional to 12,431.40, 17,155.28 and 6,842.40

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Solution

The fourth proportional to 12,431.40, 17,155.28 and 6,842.40 is: 9,442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.40 : 17,155.28 = 6,842.40 : x
  2. Step 2: Convert to fraction form
    12,431.40/17,155.28 = 6,842.40/x
  3. Step 3: Cross multiply
    12,431.40x = 17,155.28 × 6,842.40
  4. Step 4: Simplify right side
    12,431.40x = 117,383,287.87
  5. Step 5: Solve for x
    x = 117,383,287.87/12,431.40
  6. Step 6: Final answer
    x = 9,442.48

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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.