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Finding the Fourth Proportional to 1,689, 2,529.04 and 1,358.32

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Solution

The fourth proportional to 1,689, 2,529.04 and 1,358.32 is: 2,033.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689 : 2,529.04 = 1,358.32 : x
  2. Step 2: Convert to fraction form
    1,689/2,529.04 = 1,358.32/x
  3. Step 3: Cross multiply
    1,689x = 2,529.04 × 1,358.32
  4. Step 4: Simplify right side
    1,689x = 3,435,245.61
  5. Step 5: Solve for x
    x = 3,435,245.61/1,689
  6. Step 6: Final answer
    x = 2,033.89

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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.