Home / 2,272.08-3,406.10-811.02

Finding the Fourth Proportional to 2,272.08, 3,406.10 and 811.02

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Solution

The fourth proportional to 2,272.08, 3,406.10 and 811.02 is: 1,215.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.08 : 3,406.10 = 811.02 : x
  2. Step 2: Convert to fraction form
    2,272.08/3,406.10 = 811.02/x
  3. Step 3: Cross multiply
    2,272.08x = 3,406.10 × 811.02
  4. Step 4: Simplify right side
    2,272.08x = 2,762,411.17
  5. Step 5: Solve for x
    x = 2,762,411.17/2,272.08
  6. Step 6: Final answer
    x = 1,215.81

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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.