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Finding the Fourth Proportional to 6,508.30, 8,980.86 and 3,855.28

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Solution

The fourth proportional to 6,508.30, 8,980.86 and 3,855.28 is: 5,319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.30 : 8,980.86 = 3,855.28 : x
  2. Step 2: Convert to fraction form
    6,508.30/8,980.86 = 3,855.28/x
  3. Step 3: Cross multiply
    6,508.30x = 8,980.86 × 3,855.28
  4. Step 4: Simplify right side
    6,508.30x = 34,623,729.94
  5. Step 5: Solve for x
    x = 34,623,729.94/6,508.30
  6. Step 6: Final answer
    x = 5,319.93

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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.