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Finding the Fourth Proportional to 19,197, 28,795.80 and 5,346

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Solution

The fourth proportional to 19,197, 28,795.80 and 5,346 is: 8,019.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,197 : 28,795.80 = 5,346 : x
  2. Step 2: Convert to fraction form
    19,197/28,795.80 = 5,346/x
  3. Step 3: Cross multiply
    19,197x = 28,795.80 × 5,346
  4. Step 4: Simplify right side
    19,197x = 153,942,366.85
  5. Step 5: Solve for x
    x = 153,942,366.85/19,197
  6. Step 6: Final answer
    x = 8,019.08

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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.