Home / 2,287.47-3,431.21-826.63

Finding the Fourth Proportional to 2,287.47, 3,431.21 and 826.63

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Solution

The fourth proportional to 2,287.47, 3,431.21 and 826.63 is: 1,239.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.47 : 3,431.21 = 826.63 : x
  2. Step 2: Convert to fraction form
    2,287.47/3,431.21 = 826.63/x
  3. Step 3: Cross multiply
    2,287.47x = 3,431.21 × 826.63
  4. Step 4: Simplify right side
    2,287.47x = 2,836,341.12
  5. Step 5: Solve for x
    x = 2,836,341.12/2,287.47
  6. Step 6: Final answer
    x = 1,239.95

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1.5x scale

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.