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Finding the Fourth Proportional to 17,127, 25,690.50 and 4,815

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Solution

The fourth proportional to 17,127, 25,690.50 and 4,815 is: 7,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,127 : 25,690.50 = 4,815 : x
  2. Step 2: Convert to fraction form
    17,127/25,690.50 = 4,815/x
  3. Step 3: Cross multiply
    17,127x = 25,690.50 × 4,815
  4. Step 4: Simplify right side
    17,127x = 123,699,757.50
  5. Step 5: Solve for x
    x = 123,699,757.50/17,127
  6. Step 6: Final answer
    x = 7,222.50

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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.