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Finding the Fourth Proportional to 21,892.06, 32,823.08 and 7,851.79

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Solution

The fourth proportional to 21,892.06, 32,823.08 and 7,851.79 is: 11,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,892.06 : 32,823.08 = 7,851.79 : x
  2. Step 2: Convert to fraction form
    21,892.06/32,823.08 = 7,851.79/x
  3. Step 3: Cross multiply
    21,892.06x = 32,823.08 × 7,851.79
  4. Step 4: Simplify right side
    21,892.06x = 257,719,931.31
  5. Step 5: Solve for x
    x = 257,719,931.31/21,892.06
  6. Step 6: Final answer
    x = 11,772.30

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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.