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Finding the Fourth Proportional to 9,803.10, 13,523.67 and 8,190.30

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Solution

The fourth proportional to 9,803.10, 13,523.67 and 8,190.30 is: 11,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.10 : 13,523.67 = 8,190.30 : x
  2. Step 2: Convert to fraction form
    9,803.10/13,523.67 = 8,190.30/x
  3. Step 3: Cross multiply
    9,803.10x = 13,523.67 × 8,190.30
  4. Step 4: Simplify right side
    9,803.10x = 110,762,914.40
  5. Step 5: Solve for x
    x = 110,762,914.40/9,803.10
  6. Step 6: Final answer
    x = 11,298.76

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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.