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Finding the Fourth Proportional to 12,713, 17,543.94 and 7,745

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Solution

The fourth proportional to 12,713, 17,543.94 and 7,745 is: 10,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713 : 17,543.94 = 7,745 : x
  2. Step 2: Convert to fraction form
    12,713/17,543.94 = 7,745/x
  3. Step 3: Cross multiply
    12,713x = 17,543.94 × 7,745
  4. Step 4: Simplify right side
    12,713x = 135,877,815.30
  5. Step 5: Solve for x
    x = 135,877,815.30/12,713
  6. Step 6: Final answer
    x = 10,688.10

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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.