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Finding the Fourth Proportional to 2,989.32, 4,475.64 and 2,759.64

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Solution

The fourth proportional to 2,989.32, 4,475.64 and 2,759.64 is: 4,131.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.32 : 4,475.64 = 2,759.64 : x
  2. Step 2: Convert to fraction form
    2,989.32/4,475.64 = 2,759.64/x
  3. Step 3: Cross multiply
    2,989.32x = 4,475.64 × 2,759.64
  4. Step 4: Simplify right side
    2,989.32x = 12,351,155.17
  5. Step 5: Solve for x
    x = 12,351,155.17/2,989.32
  6. Step 6: Final answer
    x = 4,131.76

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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.