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Finding the Fourth Proportional to 13,105, 19,657.50 and 3,871.72

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Solution

The fourth proportional to 13,105, 19,657.50 and 3,871.72 is: 5,807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105 : 19,657.50 = 3,871.72 : x
  2. Step 2: Convert to fraction form
    13,105/19,657.50 = 3,871.72/x
  3. Step 3: Cross multiply
    13,105x = 19,657.50 × 3,871.72
  4. Step 4: Simplify right side
    13,105x = 76,108,335.90
  5. Step 5: Solve for x
    x = 76,108,335.90/13,105
  6. Step 6: Final answer
    x = 5,807.58

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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.