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Finding the Fourth Proportional to 2,806.90, 4,212.90 and 1,421.20

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Solution

The fourth proportional to 2,806.90, 4,212.90 and 1,421.20 is: 2,133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.90 : 4,212.90 = 1,421.20 : x
  2. Step 2: Convert to fraction form
    2,806.90/4,212.90 = 1,421.20/x
  3. Step 3: Cross multiply
    2,806.90x = 4,212.90 × 1,421.20
  4. Step 4: Simplify right side
    2,806.90x = 5,987,373.48
  5. Step 5: Solve for x
    x = 5,987,373.48/2,806.90
  6. Step 6: Final answer
    x = 2,133.09

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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.