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Finding the Fourth Proportional to 6,657, 9,980.04 and 2,764.20

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Solution

The fourth proportional to 6,657, 9,980.04 and 2,764.20 is: 4,144.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657 : 9,980.04 = 2,764.20 : x
  2. Step 2: Convert to fraction form
    6,657/9,980.04 = 2,764.20/x
  3. Step 3: Cross multiply
    6,657x = 9,980.04 × 2,764.20
  4. Step 4: Simplify right side
    6,657x = 27,586,826.57
  5. Step 5: Solve for x
    x = 27,586,826.57/6,657
  6. Step 6: Final answer
    x = 4,144.03

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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.