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Finding the Fourth Proportional to 7,187.90, 9,918.13 and 4,161.95

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Solution

The fourth proportional to 7,187.90, 9,918.13 and 4,161.95 is: 5,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.90 : 9,918.13 = 4,161.95 : x
  2. Step 2: Convert to fraction form
    7,187.90/9,918.13 = 4,161.95/x
  3. Step 3: Cross multiply
    7,187.90x = 9,918.13 × 4,161.95
  4. Step 4: Simplify right side
    7,187.90x = 41,278,690.75
  5. Step 5: Solve for x
    x = 41,278,690.75/7,187.90
  6. Step 6: Final answer
    x = 5,742.80

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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.