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Finding the Fourth Proportional to 6,605, 9,907.52 and 1,989.08

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Solution

The fourth proportional to 6,605, 9,907.52 and 1,989.08 is: 2,983.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605 : 9,907.52 = 1,989.08 : x
  2. Step 2: Convert to fraction form
    6,605/9,907.52 = 1,989.08/x
  3. Step 3: Cross multiply
    6,605x = 9,907.52 × 1,989.08
  4. Step 4: Simplify right side
    6,605x = 19,706,849.88
  5. Step 5: Solve for x
    x = 19,706,849.88/6,605
  6. Step 6: Final answer
    x = 2,983.63

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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.