Home / 1,284.18-1,768.64-1,107.09

Finding the Fourth Proportional to 1,284.18, 1,768.64 and 1,107.09

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Solution

The fourth proportional to 1,284.18, 1,768.64 and 1,107.09 is: 1,524.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.18 : 1,768.64 = 1,107.09 : x
  2. Step 2: Convert to fraction form
    1,284.18/1,768.64 = 1,107.09/x
  3. Step 3: Cross multiply
    1,284.18x = 1,768.64 × 1,107.09
  4. Step 4: Simplify right side
    1,284.18x = 1,958,038.12
  5. Step 5: Solve for x
    x = 1,958,038.12/1,284.18
  6. Step 6: Final answer
    x = 1,524.74

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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.