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Finding the Fourth Proportional to 19,887, 29,830.68 and 6,036

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Solution

The fourth proportional to 19,887, 29,830.68 and 6,036 is: 9,054.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,887 : 29,830.68 = 6,036 : x
  2. Step 2: Convert to fraction form
    19,887/29,830.68 = 6,036/x
  3. Step 3: Cross multiply
    19,887x = 29,830.68 × 6,036
  4. Step 4: Simplify right side
    19,887x = 180,057,984.48
  5. Step 5: Solve for x
    x = 180,057,984.48/19,887
  6. Step 6: Final answer
    x = 9,054.05

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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.