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Finding the Fourth Proportional to 3,091.87, 4,636.98 and 870.57

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Solution

The fourth proportional to 3,091.87, 4,636.98 and 870.57 is: 1,305.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.87 : 4,636.98 = 870.57 : x
  2. Step 2: Convert to fraction form
    3,091.87/4,636.98 = 870.57/x
  3. Step 3: Cross multiply
    3,091.87x = 4,636.98 × 870.57
  4. Step 4: Simplify right side
    3,091.87x = 4,036,815.68
  5. Step 5: Solve for x
    x = 4,036,815.68/3,091.87
  6. Step 6: Final answer
    x = 1,305.62

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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.