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Finding the Fourth Proportional to 21,771.24, 32,653.79 and 6,978.24

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Solution

The fourth proportional to 21,771.24, 32,653.79 and 6,978.24 is: 10,466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,771.24 : 32,653.79 = 6,978.24 : x
  2. Step 2: Convert to fraction form
    21,771.24/32,653.79 = 6,978.24/x
  3. Step 3: Cross multiply
    21,771.24x = 32,653.79 × 6,978.24
  4. Step 4: Simplify right side
    21,771.24x = 227,865,933.79
  5. Step 5: Solve for x
    x = 227,865,933.79/21,771.24
  6. Step 6: Final answer
    x = 10,466.37

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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.