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Finding the Fourth Proportional to 13,694.31, 18,897.84 and 7,725.84

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Solution

The fourth proportional to 13,694.31, 18,897.84 and 7,725.84 is: 10,661.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.31 : 18,897.84 = 7,725.84 : x
  2. Step 2: Convert to fraction form
    13,694.31/18,897.84 = 7,725.84/x
  3. Step 3: Cross multiply
    13,694.31x = 18,897.84 × 7,725.84
  4. Step 4: Simplify right side
    13,694.31x = 146,001,688.19
  5. Step 5: Solve for x
    x = 146,001,688.19/13,694.31
  6. Step 6: Final answer
    x = 10,661.49

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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.