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Finding the Fourth Proportional to 11,471.76, 15,831.04 and 6,694.98

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Solution

The fourth proportional to 11,471.76, 15,831.04 and 6,694.98 is: 9,239.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.76 : 15,831.04 = 6,694.98 : x
  2. Step 2: Convert to fraction form
    11,471.76/15,831.04 = 6,694.98/x
  3. Step 3: Cross multiply
    11,471.76x = 15,831.04 × 6,694.98
  4. Step 4: Simplify right side
    11,471.76x = 105,988,496.18
  5. Step 5: Solve for x
    x = 105,988,496.18/11,471.76
  6. Step 6: Final answer
    x = 9,239.08

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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.