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Finding the Fourth Proportional to 13,145.41, 19,718.10 and 3,911.41

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Solution

The fourth proportional to 13,145.41, 19,718.10 and 3,911.41 is: 5,867.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,145.41 : 19,718.10 = 3,911.41 : x
  2. Step 2: Convert to fraction form
    13,145.41/19,718.10 = 3,911.41/x
  3. Step 3: Cross multiply
    13,145.41x = 19,718.10 × 3,911.41
  4. Step 4: Simplify right side
    13,145.41x = 77,125,573.52
  5. Step 5: Solve for x
    x = 77,125,573.52/13,145.41
  6. Step 6: Final answer
    x = 5,867.11

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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.