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Finding the Fourth Proportional to 10,142.60, 15,213.90 and 5,768.60

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Solution

The fourth proportional to 10,142.60, 15,213.90 and 5,768.60 is: 8,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.60 : 15,213.90 = 5,768.60 : x
  2. Step 2: Convert to fraction form
    10,142.60/15,213.90 = 5,768.60/x
  3. Step 3: Cross multiply
    10,142.60x = 15,213.90 × 5,768.60
  4. Step 4: Simplify right side
    10,142.60x = 87,762,903.54
  5. Step 5: Solve for x
    x = 87,762,903.54/10,142.60
  6. Step 6: Final answer
    x = 8,652.90

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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.