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Finding the Fourth Proportional to 1,979.64, 2,964.60 and 1,435.32

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Solution

The fourth proportional to 1,979.64, 2,964.60 and 1,435.32 is: 2,149.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.64 : 2,964.60 = 1,435.32 : x
  2. Step 2: Convert to fraction form
    1,979.64/2,964.60 = 1,435.32/x
  3. Step 3: Cross multiply
    1,979.64x = 2,964.60 × 1,435.32
  4. Step 4: Simplify right side
    1,979.64x = 4,255,149.67
  5. Step 5: Solve for x
    x = 4,255,149.67/1,979.64
  6. Step 6: Final answer
    x = 2,149.46

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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.