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Finding the Fourth Proportional to 6,664.54, 9,987.78 and 3,695.98

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Solution

The fourth proportional to 6,664.54, 9,987.78 and 3,695.98 is: 5,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.54 : 9,987.78 = 3,695.98 : x
  2. Step 2: Convert to fraction form
    6,664.54/9,987.78 = 3,695.98/x
  3. Step 3: Cross multiply
    6,664.54x = 9,987.78 × 3,695.98
  4. Step 4: Simplify right side
    6,664.54x = 36,914,635.12
  5. Step 5: Solve for x
    x = 36,914,635.12/6,664.54
  6. Step 6: Final answer
    x = 5,538.96

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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.