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Finding the Fourth Proportional to 7,333, 10,999.58 and 1,861

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Solution

The fourth proportional to 7,333, 10,999.58 and 1,861 is: 2,791.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,333 : 10,999.58 = 1,861 : x
  2. Step 2: Convert to fraction form
    7,333/10,999.58 = 1,861/x
  3. Step 3: Cross multiply
    7,333x = 10,999.58 × 1,861
  4. Step 4: Simplify right side
    7,333x = 20,470,218.38
  5. Step 5: Solve for x
    x = 20,470,218.38/7,333
  6. Step 6: Final answer
    x = 2,791.52

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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.