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Finding the Fourth Proportional to 40,476, 60,714 and 12,774

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Solution

The fourth proportional to 40,476, 60,714 and 12,774 is: 19,161

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,476 : 60,714 = 12,774 : x
  2. Step 2: Convert to fraction form
    40,476/60,714 = 12,774/x
  3. Step 3: Cross multiply
    40,476x = 60,714 × 12,774
  4. Step 4: Simplify right side
    40,476x = 775,560,636
  5. Step 5: Solve for x
    x = 775,560,636/40,476
  6. Step 6: Final answer
    x = 19,161

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.