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Finding the Fourth Proportional to 2,196.60, 3,294.90 and 2,164.20

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Solution

The fourth proportional to 2,196.60, 3,294.90 and 2,164.20 is: 3,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.60 : 3,294.90 = 2,164.20 : x
  2. Step 2: Convert to fraction form
    2,196.60/3,294.90 = 2,164.20/x
  3. Step 3: Cross multiply
    2,196.60x = 3,294.90 × 2,164.20
  4. Step 4: Simplify right side
    2,196.60x = 7,130,822.58
  5. Step 5: Solve for x
    x = 7,130,822.58/2,196.60
  6. Step 6: Final answer
    x = 3,246.30

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1.5x scale

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.