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Finding the Fourth Proportional to 18,090, 27,134.73 and 6,400.35

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Solution

The fourth proportional to 18,090, 27,134.73 and 6,400.35 is: 9,600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,090 : 27,134.73 = 6,400.35 : x
  2. Step 2: Convert to fraction form
    18,090/27,134.73 = 6,400.35/x
  3. Step 3: Cross multiply
    18,090x = 27,134.73 × 6,400.35
  4. Step 4: Simplify right side
    18,090x = 173,671,769.16
  5. Step 5: Solve for x
    x = 173,671,769.16/18,090
  6. Step 6: Final answer
    x = 9,600.43

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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.