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Finding the Fourth Proportional to 13,684, 18,882.84 and 7,713.76

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Solution

The fourth proportional to 13,684, 18,882.84 and 7,713.76 is: 10,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684 : 18,882.84 = 7,713.76 : x
  2. Step 2: Convert to fraction form
    13,684/18,882.84 = 7,713.76/x
  3. Step 3: Cross multiply
    13,684x = 18,882.84 × 7,713.76
  4. Step 4: Simplify right side
    13,684x = 145,657,695.88
  5. Step 5: Solve for x
    x = 145,657,695.88/13,684
  6. Step 6: Final answer
    x = 10,644.38

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Double scale
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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.