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Finding the Fourth Proportional to 19,226.57, 28,849.57 and 7,539.89

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Solution

The fourth proportional to 19,226.57, 28,849.57 and 7,539.89 is: 11,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,226.57 : 28,849.57 = 7,539.89 : x
  2. Step 2: Convert to fraction form
    19,226.57/28,849.57 = 7,539.89/x
  3. Step 3: Cross multiply
    19,226.57x = 28,849.57 × 7,539.89
  4. Step 4: Simplify right side
    19,226.57x = 217,522,421.25
  5. Step 5: Solve for x
    x = 217,522,421.25/19,226.57
  6. Step 6: Final answer
    x = 11,313.64

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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.