Home / 2,002.16-3,005.40-1,681.04

Finding the Fourth Proportional to 2,002.16, 3,005.40 and 1,681.04

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Solution

The fourth proportional to 2,002.16, 3,005.40 and 1,681.04 is: 2,523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.16 : 3,005.40 = 1,681.04 : x
  2. Step 2: Convert to fraction form
    2,002.16/3,005.40 = 1,681.04/x
  3. Step 3: Cross multiply
    2,002.16x = 3,005.40 × 1,681.04
  4. Step 4: Simplify right side
    2,002.16x = 5,052,197.62
  5. Step 5: Solve for x
    x = 5,052,197.62/2,002.16
  6. Step 6: Final answer
    x = 2,523.37

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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.