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Finding the Fourth Proportional to 49,518, 74,280.24 and 21,816

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Solution

The fourth proportional to 49,518, 74,280.24 and 21,816 is: 32,725.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,518 : 74,280.24 = 21,816 : x
  2. Step 2: Convert to fraction form
    49,518/74,280.24 = 21,816/x
  3. Step 3: Cross multiply
    49,518x = 74,280.24 × 21,816
  4. Step 4: Simplify right side
    49,518x = 1,620,497,715.84
  5. Step 5: Solve for x
    x = 1,620,497,715.84/49,518
  6. Step 6: Final answer
    x = 32,725.43

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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.