Home / 3,141.16-4,705.32-1,640.02

Finding the Fourth Proportional to 3,141.16, 4,705.32 and 1,640.02

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Solution

The fourth proportional to 3,141.16, 4,705.32 and 1,640.02 is: 2,456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.16 : 4,705.32 = 1,640.02 : x
  2. Step 2: Convert to fraction form
    3,141.16/4,705.32 = 1,640.02/x
  3. Step 3: Cross multiply
    3,141.16x = 4,705.32 × 1,640.02
  4. Step 4: Simplify right side
    3,141.16x = 7,716,818.91
  5. Step 5: Solve for x
    x = 7,716,818.91/3,141.16
  6. Step 6: Final answer
    x = 2,456.68

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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.