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Finding the Fourth Proportional to 12,134.72, 16,746.36 and 6,831.20

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Solution

The fourth proportional to 12,134.72, 16,746.36 and 6,831.20 is: 9,427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.72 : 16,746.36 = 6,831.20 : x
  2. Step 2: Convert to fraction form
    12,134.72/16,746.36 = 6,831.20/x
  3. Step 3: Cross multiply
    12,134.72x = 16,746.36 × 6,831.20
  4. Step 4: Simplify right side
    12,134.72x = 114,397,734.43
  5. Step 5: Solve for x
    x = 114,397,734.43/12,134.72
  6. Step 6: Final answer
    x = 9,427.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.