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Finding the Fourth Proportional to 12,391.97, 17,100.63 and 7,086.47

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Solution

The fourth proportional to 12,391.97, 17,100.63 and 7,086.47 is: 9,779.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,391.97 : 17,100.63 = 7,086.47 : x
  2. Step 2: Convert to fraction form
    12,391.97/17,100.63 = 7,086.47/x
  3. Step 3: Cross multiply
    12,391.97x = 17,100.63 × 7,086.47
  4. Step 4: Simplify right side
    12,391.97x = 121,183,015.97
  5. Step 5: Solve for x
    x = 121,183,015.97/12,391.97
  6. Step 6: Final answer
    x = 9,779.16

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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.