Home / 1,567.11-2,351.09-786.90

Finding the Fourth Proportional to 1,567.11, 2,351.09 and 786.90

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Solution

The fourth proportional to 1,567.11, 2,351.09 and 786.90 is: 1,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.11 : 2,351.09 = 786.90 : x
  2. Step 2: Convert to fraction form
    1,567.11/2,351.09 = 786.90/x
  3. Step 3: Cross multiply
    1,567.11x = 2,351.09 × 786.90
  4. Step 4: Simplify right side
    1,567.11x = 1,850,068.79
  5. Step 5: Solve for x
    x = 1,850,068.79/1,567.11
  6. Step 6: Final answer
    x = 1,180.56

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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.