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Finding the Fourth Proportional to 5,780, 8,671.31 and 1,831.50

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Solution

The fourth proportional to 5,780, 8,671.31 and 1,831.50 is: 2,747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780 : 8,671.31 = 1,831.50 : x
  2. Step 2: Convert to fraction form
    5,780/8,671.31 = 1,831.50/x
  3. Step 3: Cross multiply
    5,780x = 8,671.31 × 1,831.50
  4. Step 4: Simplify right side
    5,780x = 15,881,504.27
  5. Step 5: Solve for x
    x = 15,881,504.27/5,780
  6. Step 6: Final answer
    x = 2,747.67

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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.