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Finding the Fourth Proportional to 1,691.70, 2,336.90 and 1,603.03

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Solution

The fourth proportional to 1,691.70, 2,336.90 and 1,603.03 is: 2,214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.70 : 2,336.90 = 1,603.03 : x
  2. Step 2: Convert to fraction form
    1,691.70/2,336.90 = 1,603.03/x
  3. Step 3: Cross multiply
    1,691.70x = 2,336.90 × 1,603.03
  4. Step 4: Simplify right side
    1,691.70x = 3,746,120.81
  5. Step 5: Solve for x
    x = 3,746,120.81/1,691.70
  6. Step 6: Final answer
    x = 2,214.41

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Why These Related Problems?

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