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Finding the Fourth Proportional to 5,121.92, 7,068.60 and 2,884

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Solution

The fourth proportional to 5,121.92, 7,068.60 and 2,884 is: 3,980.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.92 : 7,068.60 = 2,884 : x
  2. Step 2: Convert to fraction form
    5,121.92/7,068.60 = 2,884/x
  3. Step 3: Cross multiply
    5,121.92x = 7,068.60 × 2,884
  4. Step 4: Simplify right side
    5,121.92x = 20,385,842.40
  5. Step 5: Solve for x
    x = 20,385,842.40/5,121.92
  6. Step 6: Final answer
    x = 3,980.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.