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Finding the Fourth Proportional to 12,969, 19,456.74 and 3,735

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Solution

The fourth proportional to 12,969, 19,456.74 and 3,735 is: 5,603.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969 : 19,456.74 = 3,735 : x
  2. Step 2: Convert to fraction form
    12,969/19,456.74 = 3,735/x
  3. Step 3: Cross multiply
    12,969x = 19,456.74 × 3,735
  4. Step 4: Simplify right side
    12,969x = 72,670,923.90
  5. Step 5: Solve for x
    x = 72,670,923.90/12,969
  6. Step 6: Final answer
    x = 5,603.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.