Home / 2,102.29-3,138.65-1,606.10

Finding the Fourth Proportional to 2,102.29, 3,138.65 and 1,606.10

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Solution

The fourth proportional to 2,102.29, 3,138.65 and 1,606.10 is: 2,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.29 : 3,138.65 = 1,606.10 : x
  2. Step 2: Convert to fraction form
    2,102.29/3,138.65 = 1,606.10/x
  3. Step 3: Cross multiply
    2,102.29x = 3,138.65 × 1,606.10
  4. Step 4: Simplify right side
    2,102.29x = 5,040,968.06
  5. Step 5: Solve for x
    x = 5,040,968.06/2,102.29
  6. Step 6: Final answer
    x = 2,397.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.