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Finding the Fourth Proportional to 1,414.29, 1,949.93 and 1,011

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Solution

The fourth proportional to 1,414.29, 1,949.93 and 1,011 is: 1,393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.29 : 1,949.93 = 1,011 : x
  2. Step 2: Convert to fraction form
    1,414.29/1,949.93 = 1,011/x
  3. Step 3: Cross multiply
    1,414.29x = 1,949.93 × 1,011
  4. Step 4: Simplify right side
    1,414.29x = 1,971,374.18
  5. Step 5: Solve for x
    x = 1,971,374.18/1,414.29
  6. Step 6: Final answer
    x = 1,393.90

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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.