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Finding the Fourth Proportional to 11,866.70, 16,373.83 and 6,831.13

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Solution

The fourth proportional to 11,866.70, 16,373.83 and 6,831.13 is: 9,425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.70 : 16,373.83 = 6,831.13 : x
  2. Step 2: Convert to fraction form
    11,866.70/16,373.83 = 6,831.13/x
  3. Step 3: Cross multiply
    11,866.70x = 16,373.83 × 6,831.13
  4. Step 4: Simplify right side
    11,866.70x = 111,851,727.17
  5. Step 5: Solve for x
    x = 111,851,727.17/11,866.70
  6. Step 6: Final answer
    x = 9,425.68

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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.