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Finding the Fourth Proportional to 20,430.73, 30,649.02 and 9,892.09

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Solution

The fourth proportional to 20,430.73, 30,649.02 and 9,892.09 is: 14,839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,430.73 : 30,649.02 = 9,892.09 : x
  2. Step 2: Convert to fraction form
    20,430.73/30,649.02 = 9,892.09/x
  3. Step 3: Cross multiply
    20,430.73x = 30,649.02 × 9,892.09
  4. Step 4: Simplify right side
    20,430.73x = 303,182,865.47
  5. Step 5: Solve for x
    x = 303,182,865.47/20,430.73
  6. Step 6: Final answer
    x = 14,839.55

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1.5x scale

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.