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Finding the Fourth Proportional to 13,045.56, 17,996.90 and 7,738.44

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Solution

The fourth proportional to 13,045.56, 17,996.90 and 7,738.44 is: 10,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,045.56 : 17,996.90 = 7,738.44 : x
  2. Step 2: Convert to fraction form
    13,045.56/17,996.90 = 7,738.44/x
  3. Step 3: Cross multiply
    13,045.56x = 17,996.90 × 7,738.44
  4. Step 4: Simplify right side
    13,045.56x = 139,267,892.14
  5. Step 5: Solve for x
    x = 139,267,892.14/13,045.56
  6. Step 6: Final answer
    x = 10,675.50

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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.