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Finding the Fourth Proportional to 36,017, 54,031.88 and 12,319

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Solution

The fourth proportional to 36,017, 54,031.88 and 12,319 is: 18,480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,017 : 54,031.88 = 12,319 : x
  2. Step 2: Convert to fraction form
    36,017/54,031.88 = 12,319/x
  3. Step 3: Cross multiply
    36,017x = 54,031.88 × 12,319
  4. Step 4: Simplify right side
    36,017x = 665,618,729.72
  5. Step 5: Solve for x
    x = 665,618,729.72/36,017
  6. Step 6: Final answer
    x = 18,480.68

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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.