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Finding the Fourth Proportional to 5,311.85, 7,968.54 and 1,802.17

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Solution

The fourth proportional to 5,311.85, 7,968.54 and 1,802.17 is: 2,703.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.85 : 7,968.54 = 1,802.17 : x
  2. Step 2: Convert to fraction form
    5,311.85/7,968.54 = 1,802.17/x
  3. Step 3: Cross multiply
    5,311.85x = 7,968.54 × 1,802.17
  4. Step 4: Simplify right side
    5,311.85x = 14,360,663.73
  5. Step 5: Solve for x
    x = 14,360,663.73/5,311.85
  6. Step 6: Final answer
    x = 2,703.51

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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.