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Finding the Fourth Proportional to 19,064.62, 28,605.12 and 9,211.28

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Solution

The fourth proportional to 19,064.62, 28,605.12 and 9,211.28 is: 13,820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,064.62 : 28,605.12 = 9,211.28 : x
  2. Step 2: Convert to fraction form
    19,064.62/28,605.12 = 9,211.28/x
  3. Step 3: Cross multiply
    19,064.62x = 28,605.12 × 9,211.28
  4. Step 4: Simplify right side
    19,064.62x = 263,489,769.75
  5. Step 5: Solve for x
    x = 263,489,769.75/19,064.62
  6. Step 6: Final answer
    x = 13,820.88

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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.