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Finding the Fourth Proportional to 6,480.50, 9,722.19 and 2,376.50

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Solution

The fourth proportional to 6,480.50, 9,722.19 and 2,376.50 is: 3,565.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.50 : 9,722.19 = 2,376.50 : x
  2. Step 2: Convert to fraction form
    6,480.50/9,722.19 = 2,376.50/x
  3. Step 3: Cross multiply
    6,480.50x = 9,722.19 × 2,376.50
  4. Step 4: Simplify right side
    6,480.50x = 23,104,784.54
  5. Step 5: Solve for x
    x = 23,104,784.54/6,480.50
  6. Step 6: Final answer
    x = 3,565.28

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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.