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Finding the Fourth Proportional to 5,831.78, 8,041.51 and 3,940.08

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Solution

The fourth proportional to 5,831.78, 8,041.51 and 3,940.08 is: 5,433.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.78 : 8,041.51 = 3,940.08 : x
  2. Step 2: Convert to fraction form
    5,831.78/8,041.51 = 3,940.08/x
  3. Step 3: Cross multiply
    5,831.78x = 8,041.51 × 3,940.08
  4. Step 4: Simplify right side
    5,831.78x = 31,684,182.87
  5. Step 5: Solve for x
    x = 31,684,182.87/5,831.78
  6. Step 6: Final answer
    x = 5,433.02

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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.