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Finding the Fourth Proportional to 9,352.32, 12,911.28 and 6,831.84

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Solution

The fourth proportional to 9,352.32, 12,911.28 and 6,831.84 is: 9,431.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.32 : 12,911.28 = 6,831.84 : x
  2. Step 2: Convert to fraction form
    9,352.32/12,911.28 = 6,831.84/x
  3. Step 3: Cross multiply
    9,352.32x = 12,911.28 × 6,831.84
  4. Step 4: Simplify right side
    9,352.32x = 88,207,799.16
  5. Step 5: Solve for x
    x = 88,207,799.16/9,352.32
  6. Step 6: Final answer
    x = 9,431.65

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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.