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Finding the Fourth Proportional to 20,000, 30,001.48 and 7,688

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Solution

The fourth proportional to 20,000, 30,001.48 and 7,688 is: 11,532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,000 : 30,001.48 = 7,688 : x
  2. Step 2: Convert to fraction form
    20,000/30,001.48 = 7,688/x
  3. Step 3: Cross multiply
    20,000x = 30,001.48 × 7,688
  4. Step 4: Simplify right side
    20,000x = 230,651,378.24
  5. Step 5: Solve for x
    x = 230,651,378.24/20,000
  6. Step 6: Final answer
    x = 11,532.57

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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.