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Finding the Fourth Proportional to 7,250, 10,875 and 1,778

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Solution

The fourth proportional to 7,250, 10,875 and 1,778 is: 2,667

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,250 : 10,875 = 1,778 : x
  2. Step 2: Convert to fraction form
    7,250/10,875 = 1,778/x
  3. Step 3: Cross multiply
    7,250x = 10,875 × 1,778
  4. Step 4: Simplify right side
    7,250x = 19,335,750
  5. Step 5: Solve for x
    x = 19,335,750/7,250
  6. Step 6: Final answer
    x = 2,667

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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.