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Finding the Fourth Proportional to 7,958.84, 11,055.20 and 7,831.71

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Solution

The fourth proportional to 7,958.84, 11,055.20 and 7,831.71 is: 10,878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.84 : 11,055.20 = 7,831.71 : x
  2. Step 2: Convert to fraction form
    7,958.84/11,055.20 = 7,831.71/x
  3. Step 3: Cross multiply
    7,958.84x = 11,055.20 × 7,831.71
  4. Step 4: Simplify right side
    7,958.84x = 86,581,081.23
  5. Step 5: Solve for x
    x = 86,581,081.23/7,958.84
  6. Step 6: Final answer
    x = 10,878.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.