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Finding the Fourth Proportional to 1,351.86, 2,029.14 and 1,213.08

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Solution

The fourth proportional to 1,351.86, 2,029.14 and 1,213.08 is: 1,820.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.86 : 2,029.14 = 1,213.08 : x
  2. Step 2: Convert to fraction form
    1,351.86/2,029.14 = 1,213.08/x
  3. Step 3: Cross multiply
    1,351.86x = 2,029.14 × 1,213.08
  4. Step 4: Simplify right side
    1,351.86x = 2,461,509.15
  5. Step 5: Solve for x
    x = 2,461,509.15/1,351.86
  6. Step 6: Final answer
    x = 1,820.83

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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.