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Finding the Fourth Proportional to 3,209.98, 4,815.31 and 870.01

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Solution

The fourth proportional to 3,209.98, 4,815.31 and 870.01 is: 1,305.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.98 : 4,815.31 = 870.01 : x
  2. Step 2: Convert to fraction form
    3,209.98/4,815.31 = 870.01/x
  3. Step 3: Cross multiply
    3,209.98x = 4,815.31 × 870.01
  4. Step 4: Simplify right side
    3,209.98x = 4,189,367.85
  5. Step 5: Solve for x
    x = 4,189,367.85/3,209.98
  6. Step 6: Final answer
    x = 1,305.11

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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.