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Finding the Fourth Proportional to 36,480, 54,720 and 8,778

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Solution

The fourth proportional to 36,480, 54,720 and 8,778 is: 13,167

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,480 : 54,720 = 8,778 : x
  2. Step 2: Convert to fraction form
    36,480/54,720 = 8,778/x
  3. Step 3: Cross multiply
    36,480x = 54,720 × 8,778
  4. Step 4: Simplify right side
    36,480x = 480,332,160
  5. Step 5: Solve for x
    x = 480,332,160/36,480
  6. Step 6: Final answer
    x = 13,167

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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.