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Finding the Fourth Proportional to 7,831.42, 11,744.24 and 5,490.24

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Solution

The fourth proportional to 7,831.42, 11,744.24 and 5,490.24 is: 8,233.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.42 : 11,744.24 = 5,490.24 : x
  2. Step 2: Convert to fraction form
    7,831.42/11,744.24 = 5,490.24/x
  3. Step 3: Cross multiply
    7,831.42x = 11,744.24 × 5,490.24
  4. Step 4: Simplify right side
    7,831.42x = 64,478,696.22
  5. Step 5: Solve for x
    x = 64,478,696.22/7,831.42
  6. Step 6: Final answer
    x = 8,233.33

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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.