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Finding the Fourth Proportional to 18,263.76, 27,389.16 and 7,170

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Solution

The fourth proportional to 18,263.76, 27,389.16 and 7,170 is: 10,752.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,263.76 : 27,389.16 = 7,170 : x
  2. Step 2: Convert to fraction form
    18,263.76/27,389.16 = 7,170/x
  3. Step 3: Cross multiply
    18,263.76x = 27,389.16 × 7,170
  4. Step 4: Simplify right side
    18,263.76x = 196,380,277.20
  5. Step 5: Solve for x
    x = 196,380,277.20/18,263.76
  6. Step 6: Final answer
    x = 10,752.46

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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.