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Finding the Fourth Proportional to 2,621.52, 3,932.10 and 977.31

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Solution

The fourth proportional to 2,621.52, 3,932.10 and 977.31 is: 1,465.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.52 : 3,932.10 = 977.31 : x
  2. Step 2: Convert to fraction form
    2,621.52/3,932.10 = 977.31/x
  3. Step 3: Cross multiply
    2,621.52x = 3,932.10 × 977.31
  4. Step 4: Simplify right side
    2,621.52x = 3,842,880.65
  5. Step 5: Solve for x
    x = 3,842,880.65/2,621.52
  6. Step 6: Final answer
    x = 1,465.90

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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.