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Finding the Fourth Proportional to 2,826.71, 3,900.02 and 1,647.57

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Solution

The fourth proportional to 2,826.71, 3,900.02 and 1,647.57 is: 2,273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.71 : 3,900.02 = 1,647.57 : x
  2. Step 2: Convert to fraction form
    2,826.71/3,900.02 = 1,647.57/x
  3. Step 3: Cross multiply
    2,826.71x = 3,900.02 × 1,647.57
  4. Step 4: Simplify right side
    2,826.71x = 6,425,547.71
  5. Step 5: Solve for x
    x = 6,425,547.71/2,826.71
  6. Step 6: Final answer
    x = 2,273.16

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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.