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Finding the Fourth Proportional to 2,098.50, 3,148.14 and 693

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Solution

The fourth proportional to 2,098.50, 3,148.14 and 693 is: 1,039.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.50 : 3,148.14 = 693 : x
  2. Step 2: Convert to fraction form
    2,098.50/3,148.14 = 693/x
  3. Step 3: Cross multiply
    2,098.50x = 3,148.14 × 693
  4. Step 4: Simplify right side
    2,098.50x = 2,181,661.02
  5. Step 5: Solve for x
    x = 2,181,661.02/2,098.50
  6. Step 6: Final answer
    x = 1,039.63

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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.