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Finding the Fourth Proportional to 9,791.41, 13,512 and 5,315.17

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Solution

The fourth proportional to 9,791.41, 13,512 and 5,315.17 is: 7,334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.41 : 13,512 = 5,315.17 : x
  2. Step 2: Convert to fraction form
    9,791.41/13,512 = 5,315.17/x
  3. Step 3: Cross multiply
    9,791.41x = 13,512 × 5,315.17
  4. Step 4: Simplify right side
    9,791.41x = 71,818,577.04
  5. Step 5: Solve for x
    x = 71,818,577.04/9,791.41
  6. Step 6: Final answer
    x = 7,334.86

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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.