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Finding the Fourth Proportional to 3,110.59, 4,665.97 and 802.09

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Solution

The fourth proportional to 3,110.59, 4,665.97 and 802.09 is: 1,203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.59 : 4,665.97 = 802.09 : x
  2. Step 2: Convert to fraction form
    3,110.59/4,665.97 = 802.09/x
  3. Step 3: Cross multiply
    3,110.59x = 4,665.97 × 802.09
  4. Step 4: Simplify right side
    3,110.59x = 3,742,504.55
  5. Step 5: Solve for x
    x = 3,742,504.55/3,110.59
  6. Step 6: Final answer
    x = 1,203.15

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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.