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Finding the Fourth Proportional to 19,268, 28,902 and 5,417

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Solution

The fourth proportional to 19,268, 28,902 and 5,417 is: 8,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,268 : 28,902 = 5,417 : x
  2. Step 2: Convert to fraction form
    19,268/28,902 = 5,417/x
  3. Step 3: Cross multiply
    19,268x = 28,902 × 5,417
  4. Step 4: Simplify right side
    19,268x = 156,562,134
  5. Step 5: Solve for x
    x = 156,562,134/19,268
  6. Step 6: Final answer
    x = 8,125.50

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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.