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Finding the Fourth Proportional to 36,654, 54,981 and 13,280.45

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Solution

The fourth proportional to 36,654, 54,981 and 13,280.45 is: 19,920.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,654 : 54,981 = 13,280.45 : x
  2. Step 2: Convert to fraction form
    36,654/54,981 = 13,280.45/x
  3. Step 3: Cross multiply
    36,654x = 54,981 × 13,280.45
  4. Step 4: Simplify right side
    36,654x = 730,172,146.55
  5. Step 5: Solve for x
    x = 730,172,146.55/36,654
  6. Step 6: Final answer
    x = 19,920.67

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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.