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Finding the Fourth Proportional to 2,077.19, 3,115.79 and 538.19

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Solution

The fourth proportional to 2,077.19, 3,115.79 and 538.19 is: 807.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.19 : 3,115.79 = 538.19 : x
  2. Step 2: Convert to fraction form
    2,077.19/3,115.79 = 538.19/x
  3. Step 3: Cross multiply
    2,077.19x = 3,115.79 × 538.19
  4. Step 4: Simplify right side
    2,077.19x = 1,676,887.02
  5. Step 5: Solve for x
    x = 1,676,887.02/2,077.19
  6. Step 6: Final answer
    x = 807.29

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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.