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Finding the Fourth Proportional to 36,478, 54,717 and 8,776

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Solution

The fourth proportional to 36,478, 54,717 and 8,776 is: 13,164

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,478 : 54,717 = 8,776 : x
  2. Step 2: Convert to fraction form
    36,478/54,717 = 8,776/x
  3. Step 3: Cross multiply
    36,478x = 54,717 × 8,776
  4. Step 4: Simplify right side
    36,478x = 480,196,392
  5. Step 5: Solve for x
    x = 480,196,392/36,478
  6. Step 6: Final answer
    x = 13,164

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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.