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Finding the Fourth Proportional to 2,621.51, 3,932.87 and 772.64

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Solution

The fourth proportional to 2,621.51, 3,932.87 and 772.64 is: 1,159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.51 : 3,932.87 = 772.64 : x
  2. Step 2: Convert to fraction form
    2,621.51/3,932.87 = 772.64/x
  3. Step 3: Cross multiply
    2,621.51x = 3,932.87 × 772.64
  4. Step 4: Simplify right side
    2,621.51x = 3,038,669.15
  5. Step 5: Solve for x
    x = 3,038,669.15/2,621.51
  6. Step 6: Final answer
    x = 1,159.13

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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.