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Finding the Fourth Proportional to 6,511.41, 9,768.72 and 1,831.41

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Solution

The fourth proportional to 6,511.41, 9,768.72 and 1,831.41 is: 2,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.41 : 9,768.72 = 1,831.41 : x
  2. Step 2: Convert to fraction form
    6,511.41/9,768.72 = 1,831.41/x
  3. Step 3: Cross multiply
    6,511.41x = 9,768.72 × 1,831.41
  4. Step 4: Simplify right side
    6,511.41x = 17,890,531.50
  5. Step 5: Solve for x
    x = 17,890,531.50/6,511.41
  6. Step 6: Final answer
    x = 2,747.57

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1.5x scale

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.