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Finding the Fourth Proportional to 9,991.65, 14,985.79 and 3,665.22

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Solution

The fourth proportional to 9,991.65, 14,985.79 and 3,665.22 is: 5,497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.65 : 14,985.79 = 3,665.22 : x
  2. Step 2: Convert to fraction form
    9,991.65/14,985.79 = 3,665.22/x
  3. Step 3: Cross multiply
    9,991.65x = 14,985.79 × 3,665.22
  4. Step 4: Simplify right side
    9,991.65x = 54,926,133.13
  5. Step 5: Solve for x
    x = 54,926,133.13/9,991.65
  6. Step 6: Final answer
    x = 5,497.21

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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.