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Finding the Fourth Proportional to 19,219.78, 28,834.53 and 5,368.78

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Solution

The fourth proportional to 19,219.78, 28,834.53 and 5,368.78 is: 8,054.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,219.78 : 28,834.53 = 5,368.78 : x
  2. Step 2: Convert to fraction form
    19,219.78/28,834.53 = 5,368.78/x
  3. Step 3: Cross multiply
    19,219.78x = 28,834.53 × 5,368.78
  4. Step 4: Simplify right side
    19,219.78x = 154,806,294.08
  5. Step 5: Solve for x
    x = 154,806,294.08/19,219.78
  6. Step 6: Final answer
    x = 8,054.53

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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.