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Finding the Fourth Proportional to 1,404.14, 2,103.84 and 991.24

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Solution

The fourth proportional to 1,404.14, 2,103.84 and 991.24 is: 1,485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.14 : 2,103.84 = 991.24 : x
  2. Step 2: Convert to fraction form
    1,404.14/2,103.84 = 991.24/x
  3. Step 3: Cross multiply
    1,404.14x = 2,103.84 × 991.24
  4. Step 4: Simplify right side
    1,404.14x = 2,085,405.10
  5. Step 5: Solve for x
    x = 2,085,405.10/1,404.14
  6. Step 6: Final answer
    x = 1,485.19

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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.