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Finding the Fourth Proportional to 12,129.84, 16,738.54 and 6,825.00

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Solution

The fourth proportional to 12,129.84, 16,738.54 and 6,825.00 is: 9,418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.84 : 16,738.54 = 6,825.00 : x
  2. Step 2: Convert to fraction form
    12,129.84/16,738.54 = 6,825.00/x
  3. Step 3: Cross multiply
    12,129.84x = 16,738.54 × 6,825.00
  4. Step 4: Simplify right side
    12,129.84x = 114,240,487.05
  5. Step 5: Solve for x
    x = 114,240,487.05/12,129.84
  6. Step 6: Final answer
    x = 9,418.14

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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.