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Finding the Fourth Proportional to 8,503.67, 12,741.60 and 5,206.70

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Solution

The fourth proportional to 8,503.67, 12,741.60 and 5,206.70 is: 7,801.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503.67 : 12,741.60 = 5,206.70 : x
  2. Step 2: Convert to fraction form
    8,503.67/12,741.60 = 5,206.70/x
  3. Step 3: Cross multiply
    8,503.67x = 12,741.60 × 5,206.70
  4. Step 4: Simplify right side
    8,503.67x = 66,341,688.72
  5. Step 5: Solve for x
    x = 66,341,688.72/8,503.67
  6. Step 6: Final answer
    x = 7,801.54

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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.