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Finding the Fourth Proportional to 6,880.84, 10,311.13 and 3,076.87

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Solution

The fourth proportional to 6,880.84, 10,311.13 and 3,076.87 is: 4,610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.84 : 10,311.13 = 3,076.87 : x
  2. Step 2: Convert to fraction form
    6,880.84/10,311.13 = 3,076.87/x
  3. Step 3: Cross multiply
    6,880.84x = 10,311.13 × 3,076.87
  4. Step 4: Simplify right side
    6,880.84x = 31,725,955.01
  5. Step 5: Solve for x
    x = 31,725,955.01/6,880.84
  6. Step 6: Final answer
    x = 4,610.77

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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.