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Finding the Fourth Proportional to 2,646.60, 3,969.90 and 2,214.60

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Solution

The fourth proportional to 2,646.60, 3,969.90 and 2,214.60 is: 3,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.60 : 3,969.90 = 2,214.60 : x
  2. Step 2: Convert to fraction form
    2,646.60/3,969.90 = 2,214.60/x
  3. Step 3: Cross multiply
    2,646.60x = 3,969.90 × 2,214.60
  4. Step 4: Simplify right side
    2,646.60x = 8,791,740.54
  5. Step 5: Solve for x
    x = 8,791,740.54/2,646.60
  6. Step 6: Final answer
    x = 3,321.90

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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.