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Finding the Fourth Proportional to 12,757.68, 19,137.96 and 5,831.28

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Solution

The fourth proportional to 12,757.68, 19,137.96 and 5,831.28 is: 8,747.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.68 : 19,137.96 = 5,831.28 : x
  2. Step 2: Convert to fraction form
    12,757.68/19,137.96 = 5,831.28/x
  3. Step 3: Cross multiply
    12,757.68x = 19,137.96 × 5,831.28
  4. Step 4: Simplify right side
    12,757.68x = 111,598,803.39
  5. Step 5: Solve for x
    x = 111,598,803.39/12,757.68
  6. Step 6: Final answer
    x = 8,747.58

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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.