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Finding the Fourth Proportional to 2,812.50, 4,218.95 and 811.11

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Solution

The fourth proportional to 2,812.50, 4,218.95 and 811.11 is: 1,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.50 : 4,218.95 = 811.11 : x
  2. Step 2: Convert to fraction form
    2,812.50/4,218.95 = 811.11/x
  3. Step 3: Cross multiply
    2,812.50x = 4,218.95 × 811.11
  4. Step 4: Simplify right side
    2,812.50x = 3,422,032.53
  5. Step 5: Solve for x
    x = 3,422,032.53/2,812.50
  6. Step 6: Final answer
    x = 1,216.72

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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.