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Finding the Fourth Proportional to 2,958, 4,439.16 and 2,074.68

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Solution

The fourth proportional to 2,958, 4,439.16 and 2,074.68 is: 3,113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958 : 4,439.16 = 2,074.68 : x
  2. Step 2: Convert to fraction form
    2,958/4,439.16 = 2,074.68/x
  3. Step 3: Cross multiply
    2,958x = 4,439.16 × 2,074.68
  4. Step 4: Simplify right side
    2,958x = 9,209,836.47
  5. Step 5: Solve for x
    x = 9,209,836.47/2,958
  6. Step 6: Final answer
    x = 3,113.53

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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.