Home / 1,678.16-2,513.90-1,311.23

Finding the Fourth Proportional to 1,678.16, 2,513.90 and 1,311.23

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Solution

The fourth proportional to 1,678.16, 2,513.90 and 1,311.23 is: 1,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.16 : 2,513.90 = 1,311.23 : x
  2. Step 2: Convert to fraction form
    1,678.16/2,513.90 = 1,311.23/x
  3. Step 3: Cross multiply
    1,678.16x = 2,513.90 × 1,311.23
  4. Step 4: Simplify right side
    1,678.16x = 3,296,310.66
  5. Step 5: Solve for x
    x = 3,296,310.66/1,678.16
  6. Step 6: Final answer
    x = 1,964.24

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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.