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Finding the Fourth Proportional to 5,831.37, 8,047.08 and 3,178.72

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Solution

The fourth proportional to 5,831.37, 8,047.08 and 3,178.72 is: 4,386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.37 : 8,047.08 = 3,178.72 : x
  2. Step 2: Convert to fraction form
    5,831.37/8,047.08 = 3,178.72/x
  3. Step 3: Cross multiply
    5,831.37x = 8,047.08 × 3,178.72
  4. Step 4: Simplify right side
    5,831.37x = 25,579,414.14
  5. Step 5: Solve for x
    x = 25,579,414.14/5,831.37
  6. Step 6: Final answer
    x = 4,386.52

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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.