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Finding the Fourth Proportional to 12,713.25, 17,544.30 and 7,745.25

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Solution

The fourth proportional to 12,713.25, 17,544.30 and 7,745.25 is: 10,688.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.25 : 17,544.30 = 7,745.25 : x
  2. Step 2: Convert to fraction form
    12,713.25/17,544.30 = 7,745.25/x
  3. Step 3: Cross multiply
    12,713.25x = 17,544.30 × 7,745.25
  4. Step 4: Simplify right side
    12,713.25x = 135,884,989.58
  5. Step 5: Solve for x
    x = 135,884,989.58/12,713.25
  6. Step 6: Final answer
    x = 10,688.45

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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.