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Finding the Fourth Proportional to 4,868.98, 7,291.78 and 2,782.66

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Solution

The fourth proportional to 4,868.98, 7,291.78 and 2,782.66 is: 4,167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.98 : 7,291.78 = 2,782.66 : x
  2. Step 2: Convert to fraction form
    4,868.98/7,291.78 = 2,782.66/x
  3. Step 3: Cross multiply
    4,868.98x = 7,291.78 × 2,782.66
  4. Step 4: Simplify right side
    4,868.98x = 20,290,544.53
  5. Step 5: Solve for x
    x = 20,290,544.53/4,868.98
  6. Step 6: Final answer
    x = 4,167.31

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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.