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Finding the Fourth Proportional to 9,789, 14,683.74 and 2,493

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Solution

The fourth proportional to 9,789, 14,683.74 and 2,493 is: 3,739.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789 : 14,683.74 = 2,493 : x
  2. Step 2: Convert to fraction form
    9,789/14,683.74 = 2,493/x
  3. Step 3: Cross multiply
    9,789x = 14,683.74 × 2,493
  4. Step 4: Simplify right side
    9,789x = 36,606,563.82
  5. Step 5: Solve for x
    x = 36,606,563.82/9,789
  6. Step 6: Final answer
    x = 3,739.56

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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.