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Finding the Fourth Proportional to 36,982, 55,473 and 12,358

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Solution

The fourth proportional to 36,982, 55,473 and 12,358 is: 18,537

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,982 : 55,473 = 12,358 : x
  2. Step 2: Convert to fraction form
    36,982/55,473 = 12,358/x
  3. Step 3: Cross multiply
    36,982x = 55,473 × 12,358
  4. Step 4: Simplify right side
    36,982x = 685,535,334
  5. Step 5: Solve for x
    x = 685,535,334/36,982
  6. Step 6: Final answer
    x = 18,537

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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.