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Finding the Fourth Proportional to 9,986.71, 14,978.47 and 3,322.65

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Solution

The fourth proportional to 9,986.71, 14,978.47 and 3,322.65 is: 4,983.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.71 : 14,978.47 = 3,322.65 : x
  2. Step 2: Convert to fraction form
    9,986.71/14,978.47 = 3,322.65/x
  3. Step 3: Cross multiply
    9,986.71x = 14,978.47 × 3,322.65
  4. Step 4: Simplify right side
    9,986.71x = 49,768,213.35
  5. Step 5: Solve for x
    x = 49,768,213.35/9,986.71
  6. Step 6: Final answer
    x = 4,983.44

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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.