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Finding the Fourth Proportional to 21,866.93, 32,803.05 and 7,828.43

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Solution

The fourth proportional to 21,866.93, 32,803.05 and 7,828.43 is: 11,743.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,866.93 : 32,803.05 = 7,828.43 : x
  2. Step 2: Convert to fraction form
    21,866.93/32,803.05 = 7,828.43/x
  3. Step 3: Cross multiply
    21,866.93x = 32,803.05 × 7,828.43
  4. Step 4: Simplify right side
    21,866.93x = 256,796,216.70
  5. Step 5: Solve for x
    x = 256,796,216.70/21,866.93
  6. Step 6: Final answer
    x = 11,743.59

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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.