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Finding the Fourth Proportional to 36,015, 53,998.20 and 18,470.40

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Solution

The fourth proportional to 36,015, 53,998.20 and 18,470.40 is: 27,693.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,015 : 53,998.20 = 18,470.40 : x
  2. Step 2: Convert to fraction form
    36,015/53,998.20 = 18,470.40/x
  3. Step 3: Cross multiply
    36,015x = 53,998.20 × 18,470.40
  4. Step 4: Simplify right side
    36,015x = 997,368,353.28
  5. Step 5: Solve for x
    x = 997,368,353.28/36,015
  6. Step 6: Final answer
    x = 27,693.14

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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.