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Finding the Fourth Proportional to 12,797.04, 17,662.68 and 7,831.92

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Solution

The fourth proportional to 12,797.04, 17,662.68 and 7,831.92 is: 10,809.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.04 : 17,662.68 = 7,831.92 : x
  2. Step 2: Convert to fraction form
    12,797.04/17,662.68 = 7,831.92/x
  3. Step 3: Cross multiply
    12,797.04x = 17,662.68 × 7,831.92
  4. Step 4: Simplify right side
    12,797.04x = 138,332,696.75
  5. Step 5: Solve for x
    x = 138,332,696.75/12,797.04
  6. Step 6: Final answer
    x = 10,809.74

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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.