Home / 2,117.70-3,175.47-1,143

Finding the Fourth Proportional to 2,117.70, 3,175.47 and 1,143

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Solution

The fourth proportional to 2,117.70, 3,175.47 and 1,143 is: 1,713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.70 : 3,175.47 = 1,143 : x
  2. Step 2: Convert to fraction form
    2,117.70/3,175.47 = 1,143/x
  3. Step 3: Cross multiply
    2,117.70x = 3,175.47 × 1,143
  4. Step 4: Simplify right side
    2,117.70x = 3,629,562.21
  5. Step 5: Solve for x
    x = 3,629,562.21/2,117.70
  6. Step 6: Final answer
    x = 1,713.92

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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.