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Finding the Fourth Proportional to 36,820, 55,230 and 9,118

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Solution

The fourth proportional to 36,820, 55,230 and 9,118 is: 13,677

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,820 : 55,230 = 9,118 : x
  2. Step 2: Convert to fraction form
    36,820/55,230 = 9,118/x
  3. Step 3: Cross multiply
    36,820x = 55,230 × 9,118
  4. Step 4: Simplify right side
    36,820x = 503,587,140
  5. Step 5: Solve for x
    x = 503,587,140/36,820
  6. Step 6: Final answer
    x = 13,677

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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.