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Finding the Fourth Proportional to 2,196.87, 3,031.68 and 1,300.62

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Solution

The fourth proportional to 2,196.87, 3,031.68 and 1,300.62 is: 1,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.87 : 3,031.68 = 1,300.62 : x
  2. Step 2: Convert to fraction form
    2,196.87/3,031.68 = 1,300.62/x
  3. Step 3: Cross multiply
    2,196.87x = 3,031.68 × 1,300.62
  4. Step 4: Simplify right side
    2,196.87x = 3,943,063.64
  5. Step 5: Solve for x
    x = 3,943,063.64/2,196.87
  6. Step 6: Final answer
    x = 1,794.86

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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.