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Finding the Fourth Proportional to 13,678.53, 20,517.78 and 7,831.08

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Solution

The fourth proportional to 13,678.53, 20,517.78 and 7,831.08 is: 11,746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.53 : 20,517.78 = 7,831.08 : x
  2. Step 2: Convert to fraction form
    13,678.53/20,517.78 = 7,831.08/x
  3. Step 3: Cross multiply
    13,678.53x = 20,517.78 × 7,831.08
  4. Step 4: Simplify right side
    13,678.53x = 160,676,376.60
  5. Step 5: Solve for x
    x = 160,676,376.60/13,678.53
  6. Step 6: Final answer
    x = 11,746.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.