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Finding the Fourth Proportional to 21,851.40, 32,785.20 and 8,713.20

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Solution

The fourth proportional to 21,851.40, 32,785.20 and 8,713.20 is: 13,073.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,851.40 : 32,785.20 = 8,713.20 : x
  2. Step 2: Convert to fraction form
    21,851.40/32,785.20 = 8,713.20/x
  3. Step 3: Cross multiply
    21,851.40x = 32,785.20 × 8,713.20
  4. Step 4: Simplify right side
    21,851.40x = 285,664,004.64
  5. Step 5: Solve for x
    x = 285,664,004.64/21,851.40
  6. Step 6: Final answer
    x = 13,073.03

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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.