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Finding the Fourth Proportional to 8,527.66, 12,783.96 and 3,329.90

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Solution

The fourth proportional to 8,527.66, 12,783.96 and 3,329.90 is: 4,991.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.66 : 12,783.96 = 3,329.90 : x
  2. Step 2: Convert to fraction form
    8,527.66/12,783.96 = 3,329.90/x
  3. Step 3: Cross multiply
    8,527.66x = 12,783.96 × 3,329.90
  4. Step 4: Simplify right side
    8,527.66x = 42,569,308.40
  5. Step 5: Solve for x
    x = 42,569,308.40/8,527.66
  6. Step 6: Final answer
    x = 4,991.91

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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.