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Finding the Fourth Proportional to 5,006.56, 6,908.06 and 2,768

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Solution

The fourth proportional to 5,006.56, 6,908.06 and 2,768 is: 3,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.56 : 6,908.06 = 2,768 : x
  2. Step 2: Convert to fraction form
    5,006.56/6,908.06 = 2,768/x
  3. Step 3: Cross multiply
    5,006.56x = 6,908.06 × 2,768
  4. Step 4: Simplify right side
    5,006.56x = 19,121,510.08
  5. Step 5: Solve for x
    x = 19,121,510.08/5,006.56
  6. Step 6: Final answer
    x = 3,819.29

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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.