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Finding the Fourth Proportional to 3,110.50, 4,665.84 and 802

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Solution

The fourth proportional to 3,110.50, 4,665.84 and 802 is: 1,203.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.50 : 4,665.84 = 802 : x
  2. Step 2: Convert to fraction form
    3,110.50/4,665.84 = 802/x
  3. Step 3: Cross multiply
    3,110.50x = 4,665.84 × 802
  4. Step 4: Simplify right side
    3,110.50x = 3,742,003.68
  5. Step 5: Solve for x
    x = 3,742,003.68/3,110.50
  6. Step 6: Final answer
    x = 1,203.02

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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.