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Finding the Fourth Proportional to 21,782.24, 32,687.88 and 7,931.24

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Solution

The fourth proportional to 21,782.24, 32,687.88 and 7,931.24 is: 11,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.24 : 32,687.88 = 7,931.24 : x
  2. Step 2: Convert to fraction form
    21,782.24/32,687.88 = 7,931.24/x
  3. Step 3: Cross multiply
    21,782.24x = 32,687.88 × 7,931.24
  4. Step 4: Simplify right side
    21,782.24x = 259,255,421.37
  5. Step 5: Solve for x
    x = 259,255,421.37/21,782.24
  6. Step 6: Final answer
    x = 11,902.15

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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.