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Finding the Fourth Proportional to 2,975, 4,458.18 and 1,674.68

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Solution

The fourth proportional to 2,975, 4,458.18 and 1,674.68 is: 2,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975 : 4,458.18 = 1,674.68 : x
  2. Step 2: Convert to fraction form
    2,975/4,458.18 = 1,674.68/x
  3. Step 3: Cross multiply
    2,975x = 4,458.18 × 1,674.68
  4. Step 4: Simplify right side
    2,975x = 7,466,024.88
  5. Step 5: Solve for x
    x = 7,466,024.88/2,975
  6. Step 6: Final answer
    x = 2,509.59

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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.