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Finding the Fourth Proportional to 2,677.84, 4,016.80 and 1,759.24

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Solution

The fourth proportional to 2,677.84, 4,016.80 and 1,759.24 is: 2,638.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.84 : 4,016.80 = 1,759.24 : x
  2. Step 2: Convert to fraction form
    2,677.84/4,016.80 = 1,759.24/x
  3. Step 3: Cross multiply
    2,677.84x = 4,016.80 × 1,759.24
  4. Step 4: Simplify right side
    2,677.84x = 7,066,515.23
  5. Step 5: Solve for x
    x = 7,066,515.23/2,677.84
  6. Step 6: Final answer
    x = 2,638.89

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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.