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Finding the Fourth Proportional to 3,328.16, 4,991.84 and 862.79

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Solution

The fourth proportional to 3,328.16, 4,991.84 and 862.79 is: 1,294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,328.16 : 4,991.84 = 862.79 : x
  2. Step 2: Convert to fraction form
    3,328.16/4,991.84 = 862.79/x
  3. Step 3: Cross multiply
    3,328.16x = 4,991.84 × 862.79
  4. Step 4: Simplify right side
    3,328.16x = 4,306,883.60
  5. Step 5: Solve for x
    x = 4,306,883.60/3,328.16
  6. Step 6: Final answer
    x = 1,294.08

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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.