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Finding the Fourth Proportional to 19,952.81, 29,947.68 and 10,099.01

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Solution

The fourth proportional to 19,952.81, 29,947.68 and 10,099.01 is: 15,157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,952.81 : 29,947.68 = 10,099.01 : x
  2. Step 2: Convert to fraction form
    19,952.81/29,947.68 = 10,099.01/x
  3. Step 3: Cross multiply
    19,952.81x = 29,947.68 × 10,099.01
  4. Step 4: Simplify right side
    19,952.81x = 302,441,919.80
  5. Step 5: Solve for x
    x = 302,441,919.80/19,952.81
  6. Step 6: Final answer
    x = 15,157.86

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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.