Home / 2,102.19-2,899.10-1,628.57

Finding the Fourth Proportional to 2,102.19, 2,899.10 and 1,628.57

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Solution

The fourth proportional to 2,102.19, 2,899.10 and 1,628.57 is: 2,245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.19 : 2,899.10 = 1,628.57 : x
  2. Step 2: Convert to fraction form
    2,102.19/2,899.10 = 1,628.57/x
  3. Step 3: Cross multiply
    2,102.19x = 2,899.10 × 1,628.57
  4. Step 4: Simplify right side
    2,102.19x = 4,721,387.29
  5. Step 5: Solve for x
    x = 4,721,387.29/2,102.19
  6. Step 6: Final answer
    x = 2,245.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.