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Finding the Fourth Proportional to 19,207.50, 28,816.11 and 5,356.50

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Solution

The fourth proportional to 19,207.50, 28,816.11 and 5,356.50 is: 8,036.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,207.50 : 28,816.11 = 5,356.50 : x
  2. Step 2: Convert to fraction form
    19,207.50/28,816.11 = 5,356.50/x
  3. Step 3: Cross multiply
    19,207.50x = 28,816.11 × 5,356.50
  4. Step 4: Simplify right side
    19,207.50x = 154,353,493.22
  5. Step 5: Solve for x
    x = 154,353,493.22/19,207.50
  6. Step 6: Final answer
    x = 8,036.11

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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.