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Finding the Fourth Proportional to 2,095.89, 3,143.68 and 846.57

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Solution

The fourth proportional to 2,095.89, 3,143.68 and 846.57 is: 1,269.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.89 : 3,143.68 = 846.57 : x
  2. Step 2: Convert to fraction form
    2,095.89/3,143.68 = 846.57/x
  3. Step 3: Cross multiply
    2,095.89x = 3,143.68 × 846.57
  4. Step 4: Simplify right side
    2,095.89x = 2,661,334.14
  5. Step 5: Solve for x
    x = 2,661,334.14/2,095.89
  6. Step 6: Final answer
    x = 1,269.79

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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.