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Finding the Fourth Proportional to 19,683.69, 29,500.02 and 7,990.53

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Solution

The fourth proportional to 19,683.69, 29,500.02 and 7,990.53 is: 11,975.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.69 : 29,500.02 = 7,990.53 : x
  2. Step 2: Convert to fraction form
    19,683.69/29,500.02 = 7,990.53/x
  3. Step 3: Cross multiply
    19,683.69x = 29,500.02 × 7,990.53
  4. Step 4: Simplify right side
    19,683.69x = 235,720,794.81
  5. Step 5: Solve for x
    x = 235,720,794.81/19,683.69
  6. Step 6: Final answer
    x = 11,975.44

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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.