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Finding the Fourth Proportional to 21,471.96, 32,208.06 and 9,777

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Solution

The fourth proportional to 21,471.96, 32,208.06 and 9,777 is: 14,665.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,471.96 : 32,208.06 = 9,777 : x
  2. Step 2: Convert to fraction form
    21,471.96/32,208.06 = 9,777/x
  3. Step 3: Cross multiply
    21,471.96x = 32,208.06 × 9,777
  4. Step 4: Simplify right side
    21,471.96x = 314,898,202.62
  5. Step 5: Solve for x
    x = 314,898,202.62/21,471.96
  6. Step 6: Final answer
    x = 14,665.55

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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.