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Finding the Fourth Proportional to 11,777.18, 16,245.74 and 7,353.50

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Solution

The fourth proportional to 11,777.18, 16,245.74 and 7,353.50 is: 10,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.18 : 16,245.74 = 7,353.50 : x
  2. Step 2: Convert to fraction form
    11,777.18/16,245.74 = 7,353.50/x
  3. Step 3: Cross multiply
    11,777.18x = 16,245.74 × 7,353.50
  4. Step 4: Simplify right side
    11,777.18x = 119,463,049.09
  5. Step 5: Solve for x
    x = 119,463,049.09/11,777.18
  6. Step 6: Final answer
    x = 10,143.60

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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.