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Finding the Fourth Proportional to 3,900.71, 5,848.94 and 1,706.87

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Solution

The fourth proportional to 3,900.71, 5,848.94 and 1,706.87 is: 2,559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.71 : 5,848.94 = 1,706.87 : x
  2. Step 2: Convert to fraction form
    3,900.71/5,848.94 = 1,706.87/x
  3. Step 3: Cross multiply
    3,900.71x = 5,848.94 × 1,706.87
  4. Step 4: Simplify right side
    3,900.71x = 9,983,342.44
  5. Step 5: Solve for x
    x = 9,983,342.44/3,900.71
  6. Step 6: Final answer
    x = 2,559.37

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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.