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Finding the Fourth Proportional to 8,506.41, 12,748.51 and 4,342.90

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Solution

The fourth proportional to 8,506.41, 12,748.51 and 4,342.90 is: 6,508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.41 : 12,748.51 = 4,342.90 : x
  2. Step 2: Convert to fraction form
    8,506.41/12,748.51 = 4,342.90/x
  3. Step 3: Cross multiply
    8,506.41x = 12,748.51 × 4,342.90
  4. Step 4: Simplify right side
    8,506.41x = 55,365,418.62
  5. Step 5: Solve for x
    x = 55,365,418.62/8,506.41
  6. Step 6: Final answer
    x = 6,508.67

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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.