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Finding the Fourth Proportional to 2,356.80, 3,252.50 and 1,308.88

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Solution

The fourth proportional to 2,356.80, 3,252.50 and 1,308.88 is: 1,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.80 : 3,252.50 = 1,308.88 : x
  2. Step 2: Convert to fraction form
    2,356.80/3,252.50 = 1,308.88/x
  3. Step 3: Cross multiply
    2,356.80x = 3,252.50 × 1,308.88
  4. Step 4: Simplify right side
    2,356.80x = 4,257,132.20
  5. Step 5: Solve for x
    x = 4,257,132.20/2,356.80
  6. Step 6: Final answer
    x = 1,806.32

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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.