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Finding the Fourth Proportional to 6,831.48, 9,420.48 and 5,712.24

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Solution

The fourth proportional to 6,831.48, 9,420.48 and 5,712.24 is: 7,877.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.48 : 9,420.48 = 5,712.24 : x
  2. Step 2: Convert to fraction form
    6,831.48/9,420.48 = 5,712.24/x
  3. Step 3: Cross multiply
    6,831.48x = 9,420.48 × 5,712.24
  4. Step 4: Simplify right side
    6,831.48x = 53,812,042.68
  5. Step 5: Solve for x
    x = 53,812,042.68/6,831.48
  6. Step 6: Final answer
    x = 7,877.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.