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Finding the Fourth Proportional to 11,507.76, 17,264.40 and 6,831.84

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Solution

The fourth proportional to 11,507.76, 17,264.40 and 6,831.84 is: 10,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.76 : 17,264.40 = 6,831.84 : x
  2. Step 2: Convert to fraction form
    11,507.76/17,264.40 = 6,831.84/x
  3. Step 3: Cross multiply
    11,507.76x = 17,264.40 × 6,831.84
  4. Step 4: Simplify right side
    11,507.76x = 117,947,618.50
  5. Step 5: Solve for x
    x = 117,947,618.50/11,507.76
  6. Step 6: Final answer
    x = 10,249.40

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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.