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Finding the Fourth Proportional to 6,866.66, 10,300.40 and 1,936.72

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Solution

The fourth proportional to 6,866.66, 10,300.40 and 1,936.72 is: 2,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.66 : 10,300.40 = 1,936.72 : x
  2. Step 2: Convert to fraction form
    6,866.66/10,300.40 = 1,936.72/x
  3. Step 3: Cross multiply
    6,866.66x = 10,300.40 × 1,936.72
  4. Step 4: Simplify right side
    6,866.66x = 19,948,990.69
  5. Step 5: Solve for x
    x = 19,948,990.69/6,866.66
  6. Step 6: Final answer
    x = 2,905.20

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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.