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Finding the Fourth Proportional to 2,415.15, 3,621.71 and 771.26

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Solution

The fourth proportional to 2,415.15, 3,621.71 and 771.26 is: 1,156.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.15 : 3,621.71 = 771.26 : x
  2. Step 2: Convert to fraction form
    2,415.15/3,621.71 = 771.26/x
  3. Step 3: Cross multiply
    2,415.15x = 3,621.71 × 771.26
  4. Step 4: Simplify right side
    2,415.15x = 2,793,263.87
  5. Step 5: Solve for x
    x = 2,793,263.87/2,415.15
  6. Step 6: Final answer
    x = 1,156.56

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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.