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Finding the Fourth Proportional to 36,819, 55,228.50 and 9,117

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Solution

The fourth proportional to 36,819, 55,228.50 and 9,117 is: 13,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,819 : 55,228.50 = 9,117 : x
  2. Step 2: Convert to fraction form
    36,819/55,228.50 = 9,117/x
  3. Step 3: Cross multiply
    36,819x = 55,228.50 × 9,117
  4. Step 4: Simplify right side
    36,819x = 503,518,234.50
  5. Step 5: Solve for x
    x = 503,518,234.50/36,819
  6. Step 6: Final answer
    x = 13,675.50

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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.