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Finding the Fourth Proportional to 6,681.65, 10,019.40 and 1,936.73

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Solution

The fourth proportional to 6,681.65, 10,019.40 and 1,936.73 is: 2,904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.65 : 10,019.40 = 1,936.73 : x
  2. Step 2: Convert to fraction form
    6,681.65/10,019.40 = 1,936.73/x
  3. Step 3: Cross multiply
    6,681.65x = 10,019.40 × 1,936.73
  4. Step 4: Simplify right side
    6,681.65x = 19,404,822.47
  5. Step 5: Solve for x
    x = 19,404,822.47/6,681.65
  6. Step 6: Final answer
    x = 2,904.20

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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.