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Finding the Fourth Proportional to 2,651.30, 3,976.64 and 703.65

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Solution

The fourth proportional to 2,651.30, 3,976.64 and 703.65 is: 1,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.30 : 3,976.64 = 703.65 : x
  2. Step 2: Convert to fraction form
    2,651.30/3,976.64 = 703.65/x
  3. Step 3: Cross multiply
    2,651.30x = 3,976.64 × 703.65
  4. Step 4: Simplify right side
    2,651.30x = 2,798,159.22
  5. Step 5: Solve for x
    x = 2,798,159.22/2,651.30
  6. Step 6: Final answer
    x = 1,055.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.