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Finding the Fourth Proportional to 19,229.75, 28,844.63 and 5,378.75

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Solution

The fourth proportional to 19,229.75, 28,844.63 and 5,378.75 is: 8,068.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,229.75 : 28,844.63 = 5,378.75 : x
  2. Step 2: Convert to fraction form
    19,229.75/28,844.63 = 5,378.75/x
  3. Step 3: Cross multiply
    19,229.75x = 28,844.63 × 5,378.75
  4. Step 4: Simplify right side
    19,229.75x = 155,148,026.72
  5. Step 5: Solve for x
    x = 155,148,026.72/19,229.75
  6. Step 6: Final answer
    x = 8,068.13

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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.