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Finding the Fourth Proportional to 18,261.76, 27,386.16 and 7,168

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Solution

The fourth proportional to 18,261.76, 27,386.16 and 7,168 is: 10,749.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,261.76 : 27,386.16 = 7,168 : x
  2. Step 2: Convert to fraction form
    18,261.76/27,386.16 = 7,168/x
  3. Step 3: Cross multiply
    18,261.76x = 27,386.16 × 7,168
  4. Step 4: Simplify right side
    18,261.76x = 196,303,994.88
  5. Step 5: Solve for x
    x = 196,303,994.88/18,261.76
  6. Step 6: Final answer
    x = 10,749.46

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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.