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Finding the Fourth Proportional to 19,213.50, 28,820.25 and 5,362.50

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Solution

The fourth proportional to 19,213.50, 28,820.25 and 5,362.50 is: 8,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,213.50 : 28,820.25 = 5,362.50 : x
  2. Step 2: Convert to fraction form
    19,213.50/28,820.25 = 5,362.50/x
  3. Step 3: Cross multiply
    19,213.50x = 28,820.25 × 5,362.50
  4. Step 4: Simplify right side
    19,213.50x = 154,548,590.63
  5. Step 5: Solve for x
    x = 154,548,590.63/19,213.50
  6. Step 6: Final answer
    x = 8,043.75

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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.