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Finding the Fourth Proportional to 7,761.79, 11,642.55 and 1,918.18

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Solution

The fourth proportional to 7,761.79, 11,642.55 and 1,918.18 is: 2,877.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.79 : 11,642.55 = 1,918.18 : x
  2. Step 2: Convert to fraction form
    7,761.79/11,642.55 = 1,918.18/x
  3. Step 3: Cross multiply
    7,761.79x = 11,642.55 × 1,918.18
  4. Step 4: Simplify right side
    7,761.79x = 22,332,506.56
  5. Step 5: Solve for x
    x = 22,332,506.56/7,761.79
  6. Step 6: Final answer
    x = 2,877.24

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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.