Home / 2,291.16-3,436.74-829.92

Finding the Fourth Proportional to 2,291.16, 3,436.74 and 829.92

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Solution

The fourth proportional to 2,291.16, 3,436.74 and 829.92 is: 1,244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.16 : 3,436.74 = 829.92 : x
  2. Step 2: Convert to fraction form
    2,291.16/3,436.74 = 829.92/x
  3. Step 3: Cross multiply
    2,291.16x = 3,436.74 × 829.92
  4. Step 4: Simplify right side
    2,291.16x = 2,852,219.26
  5. Step 5: Solve for x
    x = 2,852,219.26/2,291.16
  6. Step 6: Final answer
    x = 1,244.88

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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.