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Finding the Fourth Proportional to 13,229.88, 19,825.38 and 7,378.44

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Solution

The fourth proportional to 13,229.88, 19,825.38 and 7,378.44 is: 11,056.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.88 : 19,825.38 = 7,378.44 : x
  2. Step 2: Convert to fraction form
    13,229.88/19,825.38 = 7,378.44/x
  3. Step 3: Cross multiply
    13,229.88x = 19,825.38 × 7,378.44
  4. Step 4: Simplify right side
    13,229.88x = 146,280,376.81
  5. Step 5: Solve for x
    x = 146,280,376.81/13,229.88
  6. Step 6: Final answer
    x = 11,056.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.