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Finding the Fourth Proportional to 12,497.13, 18,759.03 and 5,384.89

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Solution

The fourth proportional to 12,497.13, 18,759.03 and 5,384.89 is: 8,083.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.13 : 18,759.03 = 5,384.89 : x
  2. Step 2: Convert to fraction form
    12,497.13/18,759.03 = 5,384.89/x
  3. Step 3: Cross multiply
    12,497.13x = 18,759.03 × 5,384.89
  4. Step 4: Simplify right side
    12,497.13x = 101,015,313.06
  5. Step 5: Solve for x
    x = 101,015,313.06/12,497.13
  6. Step 6: Final answer
    x = 8,083.08

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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.