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Finding the Fourth Proportional to 12,873, 17,764.74 and 6,985

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Solution

The fourth proportional to 12,873, 17,764.74 and 6,985 is: 9,639.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,873 : 17,764.74 = 6,985 : x
  2. Step 2: Convert to fraction form
    12,873/17,764.74 = 6,985/x
  3. Step 3: Cross multiply
    12,873x = 17,764.74 × 6,985
  4. Step 4: Simplify right side
    12,873x = 124,086,708.90
  5. Step 5: Solve for x
    x = 124,086,708.90/12,873
  6. Step 6: Final answer
    x = 9,639.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.