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Finding the Fourth Proportional to 9,861.05, 13,608 and 5,384.70

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Solution

The fourth proportional to 9,861.05, 13,608 and 5,384.70 is: 7,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.05 : 13,608 = 5,384.70 : x
  2. Step 2: Convert to fraction form
    9,861.05/13,608 = 5,384.70/x
  3. Step 3: Cross multiply
    9,861.05x = 13,608 × 5,384.70
  4. Step 4: Simplify right side
    9,861.05x = 73,274,997.60
  5. Step 5: Solve for x
    x = 73,274,997.60/9,861.05
  6. Step 6: Final answer
    x = 7,430.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.