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Finding the Fourth Proportional to 2,415.48, 3,621.24 and 771

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Solution

The fourth proportional to 2,415.48, 3,621.24 and 771 is: 1,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.48 : 3,621.24 = 771 : x
  2. Step 2: Convert to fraction form
    2,415.48/3,621.24 = 771/x
  3. Step 3: Cross multiply
    2,415.48x = 3,621.24 × 771
  4. Step 4: Simplify right side
    2,415.48x = 2,791,976.04
  5. Step 5: Solve for x
    x = 2,791,976.04/2,415.48
  6. Step 6: Final answer
    x = 1,155.87

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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.