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Finding the Fourth Proportional to 6,531.80, 9,783.30 and 5,667.80

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Solution

The fourth proportional to 6,531.80, 9,783.30 and 5,667.80 is: 8,489.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.80 : 9,783.30 = 5,667.80 : x
  2. Step 2: Convert to fraction form
    6,531.80/9,783.30 = 5,667.80/x
  3. Step 3: Cross multiply
    6,531.80x = 9,783.30 × 5,667.80
  4. Step 4: Simplify right side
    6,531.80x = 55,449,787.74
  5. Step 5: Solve for x
    x = 55,449,787.74/6,531.80
  6. Step 6: Final answer
    x = 8,489.20

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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.