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Finding the Fourth Proportional to 3,134, 4,697.80 and 1,490.72

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Solution

The fourth proportional to 3,134, 4,697.80 and 1,490.72 is: 2,234.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134 : 4,697.80 = 1,490.72 : x
  2. Step 2: Convert to fraction form
    3,134/4,697.80 = 1,490.72/x
  3. Step 3: Cross multiply
    3,134x = 4,697.80 × 1,490.72
  4. Step 4: Simplify right side
    3,134x = 7,003,104.42
  5. Step 5: Solve for x
    x = 7,003,104.42/3,134
  6. Step 6: Final answer
    x = 2,234.56

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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.