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Finding the Fourth Proportional to 13,642, 18,825.96 and 7,754

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Solution

The fourth proportional to 13,642, 18,825.96 and 7,754 is: 10,700.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642 : 18,825.96 = 7,754 : x
  2. Step 2: Convert to fraction form
    13,642/18,825.96 = 7,754/x
  3. Step 3: Cross multiply
    13,642x = 18,825.96 × 7,754
  4. Step 4: Simplify right side
    13,642x = 145,976,493.84
  5. Step 5: Solve for x
    x = 145,976,493.84/13,642
  6. Step 6: Final answer
    x = 10,700.52

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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.