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Finding the Fourth Proportional to 9,791.10, 13,512.40 and 5,542.18

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Solution

The fourth proportional to 9,791.10, 13,512.40 and 5,542.18 is: 7,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.10 : 13,512.40 = 5,542.18 : x
  2. Step 2: Convert to fraction form
    9,791.10/13,512.40 = 5,542.18/x
  3. Step 3: Cross multiply
    9,791.10x = 13,512.40 × 5,542.18
  4. Step 4: Simplify right side
    9,791.10x = 74,888,153.03
  5. Step 5: Solve for x
    x = 74,888,153.03/9,791.10
  6. Step 6: Final answer
    x = 7,648.59

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Half scale
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Double scale
Find fourth proportional to 9,792.10, 13,513.78 and 5,543.18
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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.