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Finding the Fourth Proportional to 13,653.84, 18,845 and 7,989.20

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Solution

The fourth proportional to 13,653.84, 18,845 and 7,989.20 is: 11,026.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.84 : 18,845 = 7,989.20 : x
  2. Step 2: Convert to fraction form
    13,653.84/18,845 = 7,989.20/x
  3. Step 3: Cross multiply
    13,653.84x = 18,845 × 7,989.20
  4. Step 4: Simplify right side
    13,653.84x = 150,556,474
  5. Step 5: Solve for x
    x = 150,556,474/13,653.84
  6. Step 6: Final answer
    x = 11,026.68

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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.