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Finding the Fourth Proportional to 2,009.60, 3,012.27 and 968.95

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Solution

The fourth proportional to 2,009.60, 3,012.27 and 968.95 is: 1,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.60 : 3,012.27 = 968.95 : x
  2. Step 2: Convert to fraction form
    2,009.60/3,012.27 = 968.95/x
  3. Step 3: Cross multiply
    2,009.60x = 3,012.27 × 968.95
  4. Step 4: Simplify right side
    2,009.60x = 2,918,739.02
  5. Step 5: Solve for x
    x = 2,918,739.02/2,009.60
  6. Step 6: Final answer
    x = 1,452.40

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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.