Home / 2,284.40-3,429.10-1,638.02

Finding the Fourth Proportional to 2,284.40, 3,429.10 and 1,638.02

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Solution

The fourth proportional to 2,284.40, 3,429.10 and 1,638.02 is: 2,458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.40 : 3,429.10 = 1,638.02 : x
  2. Step 2: Convert to fraction form
    2,284.40/3,429.10 = 1,638.02/x
  3. Step 3: Cross multiply
    2,284.40x = 3,429.10 × 1,638.02
  4. Step 4: Simplify right side
    2,284.40x = 5,616,934.38
  5. Step 5: Solve for x
    x = 5,616,934.38/2,284.40
  6. Step 6: Final answer
    x = 2,458.82

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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.