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Finding the Fourth Proportional to 12,580.62, 18,861.78 and 5,182.47

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Solution

The fourth proportional to 12,580.62, 18,861.78 and 5,182.47 is: 7,769.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.62 : 18,861.78 = 5,182.47 : x
  2. Step 2: Convert to fraction form
    12,580.62/18,861.78 = 5,182.47/x
  3. Step 3: Cross multiply
    12,580.62x = 18,861.78 × 5,182.47
  4. Step 4: Simplify right side
    12,580.62x = 97,750,609.00
  5. Step 5: Solve for x
    x = 97,750,609.00/12,580.62
  6. Step 6: Final answer
    x = 7,769.94

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1.5x scale

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.