Home / 2,102.90-3,165.31-1,785.78

Finding the Fourth Proportional to 2,102.90, 3,165.31 and 1,785.78

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Solution

The fourth proportional to 2,102.90, 3,165.31 and 1,785.78 is: 2,687.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.90 : 3,165.31 = 1,785.78 : x
  2. Step 2: Convert to fraction form
    2,102.90/3,165.31 = 1,785.78/x
  3. Step 3: Cross multiply
    2,102.90x = 3,165.31 × 1,785.78
  4. Step 4: Simplify right side
    2,102.90x = 5,652,547.29
  5. Step 5: Solve for x
    x = 5,652,547.29/2,102.90
  6. Step 6: Final answer
    x = 2,687.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.