Home / 2,089.04-3,131-1,319.76

Finding the Fourth Proportional to 2,089.04, 3,131 and 1,319.76

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Solution

The fourth proportional to 2,089.04, 3,131 and 1,319.76 is: 1,978.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.04 : 3,131 = 1,319.76 : x
  2. Step 2: Convert to fraction form
    2,089.04/3,131 = 1,319.76/x
  3. Step 3: Cross multiply
    2,089.04x = 3,131 × 1,319.76
  4. Step 4: Simplify right side
    2,089.04x = 4,132,168.56
  5. Step 5: Solve for x
    x = 4,132,168.56/2,089.04
  6. Step 6: Final answer
    x = 1,978.02

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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.