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Finding the Fourth Proportional to 3,458.46, 5,188.48 and 993.30

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Solution

The fourth proportional to 3,458.46, 5,188.48 and 993.30 is: 1,490.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.46 : 5,188.48 = 993.30 : x
  2. Step 2: Convert to fraction form
    3,458.46/5,188.48 = 993.30/x
  3. Step 3: Cross multiply
    3,458.46x = 5,188.48 × 993.30
  4. Step 4: Simplify right side
    3,458.46x = 5,153,717.18
  5. Step 5: Solve for x
    x = 5,153,717.18/3,458.46
  6. Step 6: Final answer
    x = 1,490.18

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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.