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Finding the Fourth Proportional to 2,196.50, 3,031.88 and 1,749.18

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Solution

The fourth proportional to 2,196.50, 3,031.88 and 1,749.18 is: 2,414.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.50 : 3,031.88 = 1,749.18 : x
  2. Step 2: Convert to fraction form
    2,196.50/3,031.88 = 1,749.18/x
  3. Step 3: Cross multiply
    2,196.50x = 3,031.88 × 1,749.18
  4. Step 4: Simplify right side
    2,196.50x = 5,303,303.86
  5. Step 5: Solve for x
    x = 5,303,303.86/2,196.50
  6. Step 6: Final answer
    x = 2,414.43

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