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Finding the Fourth Proportional to 2,178.24, 3,264.24 and 1,689

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Solution

The fourth proportional to 2,178.24, 3,264.24 and 1,689 is: 2,531.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.24 : 3,264.24 = 1,689 : x
  2. Step 2: Convert to fraction form
    2,178.24/3,264.24 = 1,689/x
  3. Step 3: Cross multiply
    2,178.24x = 3,264.24 × 1,689
  4. Step 4: Simplify right side
    2,178.24x = 5,513,301.36
  5. Step 5: Solve for x
    x = 5,513,301.36/2,178.24
  6. Step 6: Final answer
    x = 2,531.08

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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.