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Finding the Fourth Proportional to 3,196.47, 4,412.50 and 2,149.14

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Solution

The fourth proportional to 3,196.47, 4,412.50 and 2,149.14 is: 2,966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.47 : 4,412.50 = 2,149.14 : x
  2. Step 2: Convert to fraction form
    3,196.47/4,412.50 = 2,149.14/x
  3. Step 3: Cross multiply
    3,196.47x = 4,412.50 × 2,149.14
  4. Step 4: Simplify right side
    3,196.47x = 9,483,091.42
  5. Step 5: Solve for x
    x = 9,483,091.42/3,196.47
  6. Step 6: Final answer
    x = 2,966.74

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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.