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Finding the Fourth Proportional to 21,771.89, 32,660.89 and 6,977.34

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Solution

The fourth proportional to 21,771.89, 32,660.89 and 6,977.34 is: 10,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,771.89 : 32,660.89 = 6,977.34 : x
  2. Step 2: Convert to fraction form
    21,771.89/32,660.89 = 6,977.34/x
  3. Step 3: Cross multiply
    21,771.89x = 32,660.89 × 6,977.34
  4. Step 4: Simplify right side
    21,771.89x = 227,886,116.79
  5. Step 5: Solve for x
    x = 227,886,116.79/21,771.89
  6. Step 6: Final answer
    x = 10,466.99

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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.