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Finding the Fourth Proportional to 11,831.31, 16,326.63 and 7,114.68

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Solution

The fourth proportional to 11,831.31, 16,326.63 and 7,114.68 is: 9,817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.31 : 16,326.63 = 7,114.68 : x
  2. Step 2: Convert to fraction form
    11,831.31/16,326.63 = 7,114.68/x
  3. Step 3: Cross multiply
    11,831.31x = 16,326.63 × 7,114.68
  4. Step 4: Simplify right side
    11,831.31x = 116,158,747.93
  5. Step 5: Solve for x
    x = 116,158,747.93/11,831.31
  6. Step 6: Final answer
    x = 9,817.91

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1.5x scale

Why These Related Problems?

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