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Finding the Fourth Proportional to 20,292, 30,438.06 and 7,980

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Solution

The fourth proportional to 20,292, 30,438.06 and 7,980 is: 11,970.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,292 : 30,438.06 = 7,980 : x
  2. Step 2: Convert to fraction form
    20,292/30,438.06 = 7,980/x
  3. Step 3: Cross multiply
    20,292x = 30,438.06 × 7,980
  4. Step 4: Simplify right side
    20,292x = 242,895,718.80
  5. Step 5: Solve for x
    x = 242,895,718.80/20,292
  6. Step 6: Final answer
    x = 11,970.02

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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.