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Finding the Fourth Proportional to 9,431, 13,014.78 and 5,239.28

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Solution

The fourth proportional to 9,431, 13,014.78 and 5,239.28 is: 7,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431 : 13,014.78 = 5,239.28 : x
  2. Step 2: Convert to fraction form
    9,431/13,014.78 = 5,239.28/x
  3. Step 3: Cross multiply
    9,431x = 13,014.78 × 5,239.28
  4. Step 4: Simplify right side
    9,431x = 68,188,076.56
  5. Step 5: Solve for x
    x = 68,188,076.56/9,431
  6. Step 6: Final answer
    x = 7,230.21

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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.