Home / 1,540.14-2,307.15-1,414.14

Finding the Fourth Proportional to 1,540.14, 2,307.15 and 1,414.14

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Solution

The fourth proportional to 1,540.14, 2,307.15 and 1,414.14 is: 2,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.14 : 2,307.15 = 1,414.14 : x
  2. Step 2: Convert to fraction form
    1,540.14/2,307.15 = 1,414.14/x
  3. Step 3: Cross multiply
    1,540.14x = 2,307.15 × 1,414.14
  4. Step 4: Simplify right side
    1,540.14x = 3,262,633.10
  5. Step 5: Solve for x
    x = 3,262,633.10/1,540.14
  6. Step 6: Final answer
    x = 2,118.40

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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.