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Finding the Fourth Proportional to 7,888.32, 11,831.94 and 7,431.48

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Solution

The fourth proportional to 7,888.32, 11,831.94 and 7,431.48 is: 11,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.32 : 11,831.94 = 7,431.48 : x
  2. Step 2: Convert to fraction form
    7,888.32/11,831.94 = 7,431.48/x
  3. Step 3: Cross multiply
    7,888.32x = 11,831.94 × 7,431.48
  4. Step 4: Simplify right side
    7,888.32x = 87,928,825.47
  5. Step 5: Solve for x
    x = 87,928,825.47/7,888.32
  6. Step 6: Final answer
    x = 11,146.71

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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.