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Finding the Fourth Proportional to 7,761.67, 11,642.20 and 1,918.13

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Solution

The fourth proportional to 7,761.67, 11,642.20 and 1,918.13 is: 2,877.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.67 : 11,642.20 = 1,918.13 : x
  2. Step 2: Convert to fraction form
    7,761.67/11,642.20 = 1,918.13/x
  3. Step 3: Cross multiply
    7,761.67x = 11,642.20 × 1,918.13
  4. Step 4: Simplify right side
    7,761.67x = 22,331,253.09
  5. Step 5: Solve for x
    x = 22,331,253.09/7,761.67
  6. Step 6: Final answer
    x = 2,877.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.