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Finding the Fourth Proportional to 19,836, 29,755.20 and 5,985.12

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Solution

The fourth proportional to 19,836, 29,755.20 and 5,985.12 is: 8,978.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,836 : 29,755.20 = 5,985.12 : x
  2. Step 2: Convert to fraction form
    19,836/29,755.20 = 5,985.12/x
  3. Step 3: Cross multiply
    19,836x = 29,755.20 × 5,985.12
  4. Step 4: Simplify right side
    19,836x = 178,088,442.62
  5. Step 5: Solve for x
    x = 178,088,442.62/19,836
  6. Step 6: Final answer
    x = 8,978.04

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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.