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Finding the Fourth Proportional to 40,486, 60,729 and 12,784

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Solution

The fourth proportional to 40,486, 60,729 and 12,784 is: 19,176

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,486 : 60,729 = 12,784 : x
  2. Step 2: Convert to fraction form
    40,486/60,729 = 12,784/x
  3. Step 3: Cross multiply
    40,486x = 60,729 × 12,784
  4. Step 4: Simplify right side
    40,486x = 776,359,536
  5. Step 5: Solve for x
    x = 776,359,536/40,486
  6. Step 6: Final answer
    x = 19,176

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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.