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Finding the Fourth Proportional to 2,191.51, 3,283.55 and 1,324

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Solution

The fourth proportional to 2,191.51, 3,283.55 and 1,324 is: 1,983.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.51 : 3,283.55 = 1,324 : x
  2. Step 2: Convert to fraction form
    2,191.51/3,283.55 = 1,324/x
  3. Step 3: Cross multiply
    2,191.51x = 3,283.55 × 1,324
  4. Step 4: Simplify right side
    2,191.51x = 4,347,420.20
  5. Step 5: Solve for x
    x = 4,347,420.20/2,191.51
  6. Step 6: Final answer
    x = 1,983.76

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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.