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Finding the Fourth Proportional to 2,068.70, 2,854.49 and 1,229.39

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Solution

The fourth proportional to 2,068.70, 2,854.49 and 1,229.39 is: 1,696.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.70 : 2,854.49 = 1,229.39 : x
  2. Step 2: Convert to fraction form
    2,068.70/2,854.49 = 1,229.39/x
  3. Step 3: Cross multiply
    2,068.70x = 2,854.49 × 1,229.39
  4. Step 4: Simplify right side
    2,068.70x = 3,509,267.19
  5. Step 5: Solve for x
    x = 3,509,267.19/2,068.70
  6. Step 6: Final answer
    x = 1,696.36

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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.