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Finding the Fourth Proportional to 13,697.28, 18,902.40 and 8,033.28

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Solution

The fourth proportional to 13,697.28, 18,902.40 and 8,033.28 is: 11,086.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.28 : 18,902.40 = 8,033.28 : x
  2. Step 2: Convert to fraction form
    13,697.28/18,902.40 = 8,033.28/x
  3. Step 3: Cross multiply
    13,697.28x = 18,902.40 × 8,033.28
  4. Step 4: Simplify right side
    13,697.28x = 151,848,271.87
  5. Step 5: Solve for x
    x = 151,848,271.87/13,697.28
  6. Step 6: Final answer
    x = 11,086.02

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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.