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Finding the Fourth Proportional to 9,665, 14,499.66 and 3,509

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Solution

The fourth proportional to 9,665, 14,499.66 and 3,509 is: 5,264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665 : 14,499.66 = 3,509 : x
  2. Step 2: Convert to fraction form
    9,665/14,499.66 = 3,509/x
  3. Step 3: Cross multiply
    9,665x = 14,499.66 × 3,509
  4. Step 4: Simplify right side
    9,665x = 50,879,306.94
  5. Step 5: Solve for x
    x = 50,879,306.94/9,665
  6. Step 6: Final answer
    x = 5,264.28

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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.