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Finding the Fourth Proportional to 2,144.64, 2,959.50 and 1,200.36

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Solution

The fourth proportional to 2,144.64, 2,959.50 and 1,200.36 is: 1,656.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.64 : 2,959.50 = 1,200.36 : x
  2. Step 2: Convert to fraction form
    2,144.64/2,959.50 = 1,200.36/x
  3. Step 3: Cross multiply
    2,144.64x = 2,959.50 × 1,200.36
  4. Step 4: Simplify right side
    2,144.64x = 3,552,465.42
  5. Step 5: Solve for x
    x = 3,552,465.42/2,144.64
  6. Step 6: Final answer
    x = 1,656.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.