Home / 1,352.12-2,025.56-830.58

Finding the Fourth Proportional to 1,352.12, 2,025.56 and 830.58

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Solution

The fourth proportional to 1,352.12, 2,025.56 and 830.58 is: 1,244.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.12 : 2,025.56 = 830.58 : x
  2. Step 2: Convert to fraction form
    1,352.12/2,025.56 = 830.58/x
  3. Step 3: Cross multiply
    1,352.12x = 2,025.56 × 830.58
  4. Step 4: Simplify right side
    1,352.12x = 1,682,385.13
  5. Step 5: Solve for x
    x = 1,682,385.13/1,352.12
  6. Step 6: Final answer
    x = 1,244.26

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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.