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Finding the Fourth Proportional to 19,224, 28,847.52 and 8,280

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Solution

The fourth proportional to 19,224, 28,847.52 and 8,280 is: 12,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,224 : 28,847.52 = 8,280 : x
  2. Step 2: Convert to fraction form
    19,224/28,847.52 = 8,280/x
  3. Step 3: Cross multiply
    19,224x = 28,847.52 × 8,280
  4. Step 4: Simplify right side
    19,224x = 238,857,465.60
  5. Step 5: Solve for x
    x = 238,857,465.60/19,224
  6. Step 6: Final answer
    x = 12,424.96

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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.