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Finding the Fourth Proportional to 2,620.52, 3,932.50 and 977.08

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Solution

The fourth proportional to 2,620.52, 3,932.50 and 977.08 is: 1,466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.52 : 3,932.50 = 977.08 : x
  2. Step 2: Convert to fraction form
    2,620.52/3,932.50 = 977.08/x
  3. Step 3: Cross multiply
    2,620.52x = 3,932.50 × 977.08
  4. Step 4: Simplify right side
    2,620.52x = 3,842,367.10
  5. Step 5: Solve for x
    x = 3,842,367.10/2,620.52
  6. Step 6: Final answer
    x = 1,466.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.