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Finding the Fourth Proportional to 5,728.46, 8,590.83 and 1,831.94

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Solution

The fourth proportional to 5,728.46, 8,590.83 and 1,831.94 is: 2,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.46 : 8,590.83 = 1,831.94 : x
  2. Step 2: Convert to fraction form
    5,728.46/8,590.83 = 1,831.94/x
  3. Step 3: Cross multiply
    5,728.46x = 8,590.83 × 1,831.94
  4. Step 4: Simplify right side
    5,728.46x = 15,737,885.11
  5. Step 5: Solve for x
    x = 15,737,885.11/5,728.46
  6. Step 6: Final answer
    x = 2,747.32

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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.