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Finding the Fourth Proportional to 20,002.88, 30,004.32 and 7,688

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Solution

The fourth proportional to 20,002.88, 30,004.32 and 7,688 is: 11,532

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,002.88 : 30,004.32 = 7,688 : x
  2. Step 2: Convert to fraction form
    20,002.88/30,004.32 = 7,688/x
  3. Step 3: Cross multiply
    20,002.88x = 30,004.32 × 7,688
  4. Step 4: Simplify right side
    20,002.88x = 230,673,212.16
  5. Step 5: Solve for x
    x = 230,673,212.16/20,002.88
  6. Step 6: Final answer
    x = 11,532

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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.