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Finding the Fourth Proportional to 2,642.56, 3,648 and 1,857.28

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Solution

The fourth proportional to 2,642.56, 3,648 and 1,857.28 is: 2,563.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.56 : 3,648 = 1,857.28 : x
  2. Step 2: Convert to fraction form
    2,642.56/3,648 = 1,857.28/x
  3. Step 3: Cross multiply
    2,642.56x = 3,648 × 1,857.28
  4. Step 4: Simplify right side
    2,642.56x = 6,775,357.44
  5. Step 5: Solve for x
    x = 6,775,357.44/2,642.56
  6. Step 6: Final answer
    x = 2,563.94

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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.