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Finding the Fourth Proportional to 9,143.77, 13,731.87 and 6,804.49

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Solution

The fourth proportional to 9,143.77, 13,731.87 and 6,804.49 is: 10,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.77 : 13,731.87 = 6,804.49 : x
  2. Step 2: Convert to fraction form
    9,143.77/13,731.87 = 6,804.49/x
  3. Step 3: Cross multiply
    9,143.77x = 13,731.87 × 6,804.49
  4. Step 4: Simplify right side
    9,143.77x = 93,438,372.10
  5. Step 5: Solve for x
    x = 93,438,372.10/9,143.77
  6. Step 6: Final answer
    x = 10,218.80

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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.