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Finding the Fourth Proportional to 2,078.70, 2,869.10 and 1,195.01

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Solution

The fourth proportional to 2,078.70, 2,869.10 and 1,195.01 is: 1,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.70 : 2,869.10 = 1,195.01 : x
  2. Step 2: Convert to fraction form
    2,078.70/2,869.10 = 1,195.01/x
  3. Step 3: Cross multiply
    2,078.70x = 2,869.10 × 1,195.01
  4. Step 4: Simplify right side
    2,078.70x = 3,428,582.87
  5. Step 5: Solve for x
    x = 3,428,582.87/2,078.70
  6. Step 6: Final answer
    x = 1,649.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.