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Finding the Fourth Proportional to 12,262.16, 18,381.80 and 4,865.20

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Solution

The fourth proportional to 12,262.16, 18,381.80 and 4,865.20 is: 7,293.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.16 : 18,381.80 = 4,865.20 : x
  2. Step 2: Convert to fraction form
    12,262.16/18,381.80 = 4,865.20/x
  3. Step 3: Cross multiply
    12,262.16x = 18,381.80 × 4,865.20
  4. Step 4: Simplify right side
    12,262.16x = 89,431,133.36
  5. Step 5: Solve for x
    x = 89,431,133.36/12,262.16
  6. Step 6: Final answer
    x = 7,293.26

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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.