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Finding the Fourth Proportional to 13,553.84, 18,704 and 7,889.60

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Solution

The fourth proportional to 13,553.84, 18,704 and 7,889.60 is: 10,887.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,553.84 : 18,704 = 7,889.60 : x
  2. Step 2: Convert to fraction form
    13,553.84/18,704 = 7,889.60/x
  3. Step 3: Cross multiply
    13,553.84x = 18,704 × 7,889.60
  4. Step 4: Simplify right side
    13,553.84x = 147,567,078.40
  5. Step 5: Solve for x
    x = 147,567,078.40/13,553.84
  6. Step 6: Final answer
    x = 10,887.47

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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.