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Finding the Fourth Proportional to 40,455.84, 60,683.76 and 12,756

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Solution

The fourth proportional to 40,455.84, 60,683.76 and 12,756 is: 19,134.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,455.84 : 60,683.76 = 12,756 : x
  2. Step 2: Convert to fraction form
    40,455.84/60,683.76 = 12,756/x
  3. Step 3: Cross multiply
    40,455.84x = 60,683.76 × 12,756
  4. Step 4: Simplify right side
    40,455.84x = 774,082,042.56
  5. Step 5: Solve for x
    x = 774,082,042.56/40,455.84
  6. Step 6: Final answer
    x = 19,134.00

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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.