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Finding the Fourth Proportional to 11,242.80, 16,831.80 and 10,076.40

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Solution

The fourth proportional to 11,242.80, 16,831.80 and 10,076.40 is: 15,085.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.80 : 16,831.80 = 10,076.40 : x
  2. Step 2: Convert to fraction form
    11,242.80/16,831.80 = 10,076.40/x
  3. Step 3: Cross multiply
    11,242.80x = 16,831.80 × 10,076.40
  4. Step 4: Simplify right side
    11,242.80x = 169,603,949.52
  5. Step 5: Solve for x
    x = 169,603,949.52/11,242.80
  6. Step 6: Final answer
    x = 15,085.56

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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.