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Finding the Fourth Proportional to 11,888.16, 17,831.52 and 3,680.16

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Solution

The fourth proportional to 11,888.16, 17,831.52 and 3,680.16 is: 5,520.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.16 : 17,831.52 = 3,680.16 : x
  2. Step 2: Convert to fraction form
    11,888.16/17,831.52 = 3,680.16/x
  3. Step 3: Cross multiply
    11,888.16x = 17,831.52 × 3,680.16
  4. Step 4: Simplify right side
    11,888.16x = 65,622,846.64
  5. Step 5: Solve for x
    x = 65,622,846.64/11,888.16
  6. Step 6: Final answer
    x = 5,520.02

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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.