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Finding the Fourth Proportional to 5,628.80, 7,767.64 and 3,111

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Solution

The fourth proportional to 5,628.80, 7,767.64 and 3,111 is: 4,293.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.80 : 7,767.64 = 3,111 : x
  2. Step 2: Convert to fraction form
    5,628.80/7,767.64 = 3,111/x
  3. Step 3: Cross multiply
    5,628.80x = 7,767.64 × 3,111
  4. Step 4: Simplify right side
    5,628.80x = 24,165,128.04
  5. Step 5: Solve for x
    x = 24,165,128.04/5,628.80
  6. Step 6: Final answer
    x = 4,293.12

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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.