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Finding the Fourth Proportional to 15,777, 21,769.92 and 9,062.92

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Solution

The fourth proportional to 15,777, 21,769.92 and 9,062.92 is: 12,505.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777 : 21,769.92 = 9,062.92 : x
  2. Step 2: Convert to fraction form
    15,777/21,769.92 = 9,062.92/x
  3. Step 3: Cross multiply
    15,777x = 21,769.92 × 9,062.92
  4. Step 4: Simplify right side
    15,777x = 197,299,043.37
  5. Step 5: Solve for x
    x = 197,299,043.37/15,777
  6. Step 6: Final answer
    x = 12,505.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.