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Finding the Fourth Proportional to 6,657, 9,989.37 and 3,697.92

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Solution

The fourth proportional to 6,657, 9,989.37 and 3,697.92 is: 5,549.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657 : 9,989.37 = 3,697.92 : x
  2. Step 2: Convert to fraction form
    6,657/9,989.37 = 3,697.92/x
  3. Step 3: Cross multiply
    6,657x = 9,989.37 × 3,697.92
  4. Step 4: Simplify right side
    6,657x = 36,939,891.11
  5. Step 5: Solve for x
    x = 36,939,891.11/6,657
  6. Step 6: Final answer
    x = 5,549.03

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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.