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Finding the Fourth Proportional to 12,983, 19,474.86 and 3,749

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Solution

The fourth proportional to 12,983, 19,474.86 and 3,749 is: 5,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983 : 19,474.86 = 3,749 : x
  2. Step 2: Convert to fraction form
    12,983/19,474.86 = 3,749/x
  3. Step 3: Cross multiply
    12,983x = 19,474.86 × 3,749
  4. Step 4: Simplify right side
    12,983x = 73,011,250.14
  5. Step 5: Solve for x
    x = 73,011,250.14/12,983
  6. Step 6: Final answer
    x = 5,623.60

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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.