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Finding the Fourth Proportional to 2,053.09, 3,079.61 and 514.09

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Solution

The fourth proportional to 2,053.09, 3,079.61 and 514.09 is: 771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.09 : 3,079.61 = 514.09 : x
  2. Step 2: Convert to fraction form
    2,053.09/3,079.61 = 514.09/x
  3. Step 3: Cross multiply
    2,053.09x = 3,079.61 × 514.09
  4. Step 4: Simplify right side
    2,053.09x = 1,583,178.74
  5. Step 5: Solve for x
    x = 1,583,178.74/2,053.09
  6. Step 6: Final answer
    x = 771.12

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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.