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Finding the Fourth Proportional to 2,178.51, 3,267.87 and 717.63

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Solution

The fourth proportional to 2,178.51, 3,267.87 and 717.63 is: 1,076.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.51 : 3,267.87 = 717.63 : x
  2. Step 2: Convert to fraction form
    2,178.51/3,267.87 = 717.63/x
  3. Step 3: Cross multiply
    2,178.51x = 3,267.87 × 717.63
  4. Step 4: Simplify right side
    2,178.51x = 2,345,121.55
  5. Step 5: Solve for x
    x = 2,345,121.55/2,178.51
  6. Step 6: Final answer
    x = 1,076.48

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1.5x scale

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.