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Finding the Fourth Proportional to 19,851.68, 29,777.52 and 8,900

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Solution

The fourth proportional to 19,851.68, 29,777.52 and 8,900 is: 13,350

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,851.68 : 29,777.52 = 8,900 : x
  2. Step 2: Convert to fraction form
    19,851.68/29,777.52 = 8,900/x
  3. Step 3: Cross multiply
    19,851.68x = 29,777.52 × 8,900
  4. Step 4: Simplify right side
    19,851.68x = 265,019,928
  5. Step 5: Solve for x
    x = 265,019,928/19,851.68
  6. Step 6: Final answer
    x = 13,350

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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.