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Finding the Fourth Proportional to 19,287, 28,929.60 and 5,436

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Solution

The fourth proportional to 19,287, 28,929.60 and 5,436 is: 8,153.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,287 : 28,929.60 = 5,436 : x
  2. Step 2: Convert to fraction form
    19,287/28,929.60 = 5,436/x
  3. Step 3: Cross multiply
    19,287x = 28,929.60 × 5,436
  4. Step 4: Simplify right side
    19,287x = 157,261,305.60
  5. Step 5: Solve for x
    x = 157,261,305.60/19,287
  6. Step 6: Final answer
    x = 8,153.75

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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.