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Finding the Fourth Proportional to 8,506.81, 12,757.38 and 3,575.53

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Solution

The fourth proportional to 8,506.81, 12,757.38 and 3,575.53 is: 5,362.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.81 : 12,757.38 = 3,575.53 : x
  2. Step 2: Convert to fraction form
    8,506.81/12,757.38 = 3,575.53/x
  3. Step 3: Cross multiply
    8,506.81x = 12,757.38 × 3,575.53
  4. Step 4: Simplify right side
    8,506.81x = 45,614,394.91
  5. Step 5: Solve for x
    x = 45,614,394.91/8,506.81
  6. Step 6: Final answer
    x = 5,362.10

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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.