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Finding the Fourth Proportional to 2,774.63, 4,164.79 and 2,165.00

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Solution

The fourth proportional to 2,774.63, 4,164.79 and 2,165.00 is: 3,249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.63 : 4,164.79 = 2,165.00 : x
  2. Step 2: Convert to fraction form
    2,774.63/4,164.79 = 2,165.00/x
  3. Step 3: Cross multiply
    2,774.63x = 4,164.79 × 2,165.00
  4. Step 4: Simplify right side
    2,774.63x = 9,016,749.53
  5. Step 5: Solve for x
    x = 9,016,749.53/2,774.63
  6. Step 6: Final answer
    x = 3,249.72

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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.