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Finding the Fourth Proportional to 19,200, 28,801.65 and 5,349

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Solution

The fourth proportional to 19,200, 28,801.65 and 5,349 is: 8,023.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200 : 28,801.65 = 5,349 : x
  2. Step 2: Convert to fraction form
    19,200/28,801.65 = 5,349/x
  3. Step 3: Cross multiply
    19,200x = 28,801.65 × 5,349
  4. Step 4: Simplify right side
    19,200x = 154,060,025.85
  5. Step 5: Solve for x
    x = 154,060,025.85/19,200
  6. Step 6: Final answer
    x = 8,023.96

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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.