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Finding the Fourth Proportional to 2,828.51, 3,895.11 and 2,648

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Solution

The fourth proportional to 2,828.51, 3,895.11 and 2,648 is: 3,646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.51 : 3,895.11 = 2,648 : x
  2. Step 2: Convert to fraction form
    2,828.51/3,895.11 = 2,648/x
  3. Step 3: Cross multiply
    2,828.51x = 3,895.11 × 2,648
  4. Step 4: Simplify right side
    2,828.51x = 10,314,251.28
  5. Step 5: Solve for x
    x = 10,314,251.28/2,828.51
  6. Step 6: Final answer
    x = 3,646.53

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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.