Home / 2,287.71-3,429-1,629.45

Finding the Fourth Proportional to 2,287.71, 3,429 and 1,629.45

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Solution

The fourth proportional to 2,287.71, 3,429 and 1,629.45 is: 2,442.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.71 : 3,429 = 1,629.45 : x
  2. Step 2: Convert to fraction form
    2,287.71/3,429 = 1,629.45/x
  3. Step 3: Cross multiply
    2,287.71x = 3,429 × 1,629.45
  4. Step 4: Simplify right side
    2,287.71x = 5,587,384.05
  5. Step 5: Solve for x
    x = 5,587,384.05/2,287.71
  6. Step 6: Final answer
    x = 2,442.35

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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.