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Finding the Fourth Proportional to 13,133, 19,702.74 and 3,899

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Solution

The fourth proportional to 13,133, 19,702.74 and 3,899 is: 5,849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133 : 19,702.74 = 3,899 : x
  2. Step 2: Convert to fraction form
    13,133/19,702.74 = 3,899/x
  3. Step 3: Cross multiply
    13,133x = 19,702.74 × 3,899
  4. Step 4: Simplify right side
    13,133x = 76,820,983.26
  5. Step 5: Solve for x
    x = 76,820,983.26/13,133
  6. Step 6: Final answer
    x = 5,849.46

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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.