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Finding the Fourth Proportional to 6,712.72, 9,263.84 and 3,880

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Solution

The fourth proportional to 6,712.72, 9,263.84 and 3,880 is: 5,354.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.72 : 9,263.84 = 3,880 : x
  2. Step 2: Convert to fraction form
    6,712.72/9,263.84 = 3,880/x
  3. Step 3: Cross multiply
    6,712.72x = 9,263.84 × 3,880
  4. Step 4: Simplify right side
    6,712.72x = 35,943,699.20
  5. Step 5: Solve for x
    x = 35,943,699.20/6,712.72
  6. Step 6: Final answer
    x = 5,354.57

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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.