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Finding the Fourth Proportional to 2,178.99, 3,268.62 and 718.11

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Solution

The fourth proportional to 2,178.99, 3,268.62 and 718.11 is: 1,077.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.99 : 3,268.62 = 718.11 : x
  2. Step 2: Convert to fraction form
    2,178.99/3,268.62 = 718.11/x
  3. Step 3: Cross multiply
    2,178.99x = 3,268.62 × 718.11
  4. Step 4: Simplify right side
    2,178.99x = 2,347,228.71
  5. Step 5: Solve for x
    x = 2,347,228.71/2,178.99
  6. Step 6: Final answer
    x = 1,077.21

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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.