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Finding the Fourth Proportional to 40,564, 60,846 and 12,862

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Solution

The fourth proportional to 40,564, 60,846 and 12,862 is: 19,293

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,564 : 60,846 = 12,862 : x
  2. Step 2: Convert to fraction form
    40,564/60,846 = 12,862/x
  3. Step 3: Cross multiply
    40,564x = 60,846 × 12,862
  4. Step 4: Simplify right side
    40,564x = 782,601,252
  5. Step 5: Solve for x
    x = 782,601,252/40,564
  6. Step 6: Final answer
    x = 19,293

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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.