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Finding the Fourth Proportional to 11,697.09, 16,142 and 7,219.81

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Solution

The fourth proportional to 11,697.09, 16,142 and 7,219.81 is: 9,963.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.09 : 16,142 = 7,219.81 : x
  2. Step 2: Convert to fraction form
    11,697.09/16,142 = 7,219.81/x
  3. Step 3: Cross multiply
    11,697.09x = 16,142 × 7,219.81
  4. Step 4: Simplify right side
    11,697.09x = 116,542,173.02
  5. Step 5: Solve for x
    x = 116,542,173.02/11,697.09
  6. Step 6: Final answer
    x = 9,963.35

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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.