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Finding the Fourth Proportional to 21,653, 32,478.22 and 5,857.80

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Solution

The fourth proportional to 21,653, 32,478.22 and 5,857.80 is: 8,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,653 : 32,478.22 = 5,857.80 : x
  2. Step 2: Convert to fraction form
    21,653/32,478.22 = 5,857.80/x
  3. Step 3: Cross multiply
    21,653x = 32,478.22 × 5,857.80
  4. Step 4: Simplify right side
    21,653x = 190,250,917.12
  5. Step 5: Solve for x
    x = 190,250,917.12/21,653
  6. Step 6: Final answer
    x = 8,786.35

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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.