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Finding the Fourth Proportional to 3,449.61, 5,174.66 and 984.62

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Solution

The fourth proportional to 3,449.61, 5,174.66 and 984.62 is: 1,477.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.61 : 5,174.66 = 984.62 : x
  2. Step 2: Convert to fraction form
    3,449.61/5,174.66 = 984.62/x
  3. Step 3: Cross multiply
    3,449.61x = 5,174.66 × 984.62
  4. Step 4: Simplify right side
    3,449.61x = 5,095,089.13
  5. Step 5: Solve for x
    x = 5,095,089.13/3,449.61
  6. Step 6: Final answer
    x = 1,477.00

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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.