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Finding the Fourth Proportional to 2,907.81, 4,014.72 and 1,729.26

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Solution

The fourth proportional to 2,907.81, 4,014.72 and 1,729.26 is: 2,387.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.81 : 4,014.72 = 1,729.26 : x
  2. Step 2: Convert to fraction form
    2,907.81/4,014.72 = 1,729.26/x
  3. Step 3: Cross multiply
    2,907.81x = 4,014.72 × 1,729.26
  4. Step 4: Simplify right side
    2,907.81x = 6,942,494.71
  5. Step 5: Solve for x
    x = 6,942,494.71/2,907.81
  6. Step 6: Final answer
    x = 2,387.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.