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Finding the Fourth Proportional to 2,842.98, 4,265.11 and 868.79

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Solution

The fourth proportional to 2,842.98, 4,265.11 and 868.79 is: 1,303.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.98 : 4,265.11 = 868.79 : x
  2. Step 2: Convert to fraction form
    2,842.98/4,265.11 = 868.79/x
  3. Step 3: Cross multiply
    2,842.98x = 4,265.11 × 868.79
  4. Step 4: Simplify right side
    2,842.98x = 3,705,463.59
  5. Step 5: Solve for x
    x = 3,705,463.59/2,842.98
  6. Step 6: Final answer
    x = 1,303.38

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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.