Home / 5,107.58-7,661.77-1,409.78

Finding the Fourth Proportional to 5,107.58, 7,661.77 and 1,409.78

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Solution

The fourth proportional to 5,107.58, 7,661.77 and 1,409.78 is: 2,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.58 : 7,661.77 = 1,409.78 : x
  2. Step 2: Convert to fraction form
    5,107.58/7,661.77 = 1,409.78/x
  3. Step 3: Cross multiply
    5,107.58x = 7,661.77 × 1,409.78
  4. Step 4: Simplify right side
    5,107.58x = 10,801,425.74
  5. Step 5: Solve for x
    x = 10,801,425.74/5,107.58
  6. Step 6: Final answer
    x = 2,114.78

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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.