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Finding the Fourth Proportional to 5,831.45, 8,047.50 and 3,178.86

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Solution

The fourth proportional to 5,831.45, 8,047.50 and 3,178.86 is: 4,386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.45 : 8,047.50 = 3,178.86 : x
  2. Step 2: Convert to fraction form
    5,831.45/8,047.50 = 3,178.86/x
  3. Step 3: Cross multiply
    5,831.45x = 8,047.50 × 3,178.86
  4. Step 4: Simplify right side
    5,831.45x = 25,581,875.85
  5. Step 5: Solve for x
    x = 25,581,875.85/5,831.45
  6. Step 6: Final answer
    x = 4,386.88

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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.