Home / 1,403.36-2,102.88-825.60

Finding the Fourth Proportional to 1,403.36, 2,102.88 and 825.60

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Solution

The fourth proportional to 1,403.36, 2,102.88 and 825.60 is: 1,237.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.36 : 2,102.88 = 825.60 : x
  2. Step 2: Convert to fraction form
    1,403.36/2,102.88 = 825.60/x
  3. Step 3: Cross multiply
    1,403.36x = 2,102.88 × 825.60
  4. Step 4: Simplify right side
    1,403.36x = 1,736,137.73
  5. Step 5: Solve for x
    x = 1,736,137.73/1,403.36
  6. Step 6: Final answer
    x = 1,237.13

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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.