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Finding the Fourth Proportional to 5,148.59, 7,723.22 and 1,861.70

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Solution

The fourth proportional to 5,148.59, 7,723.22 and 1,861.70 is: 2,792.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.59 : 7,723.22 = 1,861.70 : x
  2. Step 2: Convert to fraction form
    5,148.59/7,723.22 = 1,861.70/x
  3. Step 3: Cross multiply
    5,148.59x = 7,723.22 × 1,861.70
  4. Step 4: Simplify right side
    5,148.59x = 14,378,270.75
  5. Step 5: Solve for x
    x = 14,378,270.75/5,148.59
  6. Step 6: Final answer
    x = 2,792.66

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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.