Home / 20,831.24-31,240.32-6,977

Finding the Fourth Proportional to 20,831.24, 31,240.32 and 6,977

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Solution

The fourth proportional to 20,831.24, 31,240.32 and 6,977 is: 10,463.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,831.24 : 31,240.32 = 6,977 : x
  2. Step 2: Convert to fraction form
    20,831.24/31,240.32 = 6,977/x
  3. Step 3: Cross multiply
    20,831.24x = 31,240.32 × 6,977
  4. Step 4: Simplify right side
    20,831.24x = 217,963,712.64
  5. Step 5: Solve for x
    x = 217,963,712.64/20,831.24
  6. Step 6: Final answer
    x = 10,463.31

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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.