Home / 2,772.14-4,159.02-824.40

Finding the Fourth Proportional to 2,772.14, 4,159.02 and 824.40

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Solution

The fourth proportional to 2,772.14, 4,159.02 and 824.40 is: 1,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.14 : 4,159.02 = 824.40 : x
  2. Step 2: Convert to fraction form
    2,772.14/4,159.02 = 824.40/x
  3. Step 3: Cross multiply
    2,772.14x = 4,159.02 × 824.40
  4. Step 4: Simplify right side
    2,772.14x = 3,428,696.09
  5. Step 5: Solve for x
    x = 3,428,696.09/2,772.14
  6. Step 6: Final answer
    x = 1,236.84

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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.