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Finding the Fourth Proportional to 2,979.64, 4,469.40 and 788.56

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Solution

The fourth proportional to 2,979.64, 4,469.40 and 788.56 is: 1,182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979.64 : 4,469.40 = 788.56 : x
  2. Step 2: Convert to fraction form
    2,979.64/4,469.40 = 788.56/x
  3. Step 3: Cross multiply
    2,979.64x = 4,469.40 × 788.56
  4. Step 4: Simplify right side
    2,979.64x = 3,524,390.06
  5. Step 5: Solve for x
    x = 3,524,390.06/2,979.64
  6. Step 6: Final answer
    x = 1,182.82

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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.