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Finding the Fourth Proportional to 9,791.50, 13,518.48 and 7,549.15

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Solution

The fourth proportional to 9,791.50, 13,518.48 and 7,549.15 is: 10,422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.50 : 13,518.48 = 7,549.15 : x
  2. Step 2: Convert to fraction form
    9,791.50/13,518.48 = 7,549.15/x
  3. Step 3: Cross multiply
    9,791.50x = 13,518.48 × 7,549.15
  4. Step 4: Simplify right side
    9,791.50x = 102,053,033.29
  5. Step 5: Solve for x
    x = 102,053,033.29/9,791.50
  6. Step 6: Final answer
    x = 10,422.61

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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.