Home / 2,101.26-3,147.10-1,006.40

Finding the Fourth Proportional to 2,101.26, 3,147.10 and 1,006.40

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Solution

The fourth proportional to 2,101.26, 3,147.10 and 1,006.40 is: 1,507.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.26 : 3,147.10 = 1,006.40 : x
  2. Step 2: Convert to fraction form
    2,101.26/3,147.10 = 1,006.40/x
  3. Step 3: Cross multiply
    2,101.26x = 3,147.10 × 1,006.40
  4. Step 4: Simplify right side
    2,101.26x = 3,167,246.79
  5. Step 5: Solve for x
    x = 3,167,246.79/2,101.26
  6. Step 6: Final answer
    x = 1,507.31

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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.