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Finding the Fourth Proportional to 18,411, 27,615.92 and 5,263.38

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Solution

The fourth proportional to 18,411, 27,615.92 and 5,263.38 is: 7,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,411 : 27,615.92 = 5,263.38 : x
  2. Step 2: Convert to fraction form
    18,411/27,615.92 = 5,263.38/x
  3. Step 3: Cross multiply
    18,411x = 27,615.92 × 5,263.38
  4. Step 4: Simplify right side
    18,411x = 145,353,081.01
  5. Step 5: Solve for x
    x = 145,353,081.01/18,411
  6. Step 6: Final answer
    x = 7,894.90

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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.