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Finding the Fourth Proportional to 9,389, 14,083.70 and 3,548.36

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Solution

The fourth proportional to 9,389, 14,083.70 and 3,548.36 is: 5,322.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389 : 14,083.70 = 3,548.36 : x
  2. Step 2: Convert to fraction form
    9,389/14,083.70 = 3,548.36/x
  3. Step 3: Cross multiply
    9,389x = 14,083.70 × 3,548.36
  4. Step 4: Simplify right side
    9,389x = 49,974,037.73
  5. Step 5: Solve for x
    x = 49,974,037.73/9,389
  6. Step 6: Final answer
    x = 5,322.62

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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.