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Finding the Fourth Proportional to 12,083.91, 16,685.24 and 7,836.99

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Solution

The fourth proportional to 12,083.91, 16,685.24 and 7,836.99 is: 10,821.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.91 : 16,685.24 = 7,836.99 : x
  2. Step 2: Convert to fraction form
    12,083.91/16,685.24 = 7,836.99/x
  3. Step 3: Cross multiply
    12,083.91x = 16,685.24 × 7,836.99
  4. Step 4: Simplify right side
    12,083.91x = 130,762,019.84
  5. Step 5: Solve for x
    x = 130,762,019.84/12,083.91
  6. Step 6: Final answer
    x = 10,821.17

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1.5x scale

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.