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Finding the Fourth Proportional to 36,902, 55,353 and 12,278

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Solution

The fourth proportional to 36,902, 55,353 and 12,278 is: 18,417

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,902 : 55,353 = 12,278 : x
  2. Step 2: Convert to fraction form
    36,902/55,353 = 12,278/x
  3. Step 3: Cross multiply
    36,902x = 55,353 × 12,278
  4. Step 4: Simplify right side
    36,902x = 679,624,134
  5. Step 5: Solve for x
    x = 679,624,134/36,902
  6. Step 6: Final answer
    x = 18,417

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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.