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Finding the Fourth Proportional to 2,474.56, 3,415.44 and 1,729

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Solution

The fourth proportional to 2,474.56, 3,415.44 and 1,729 is: 2,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.56 : 3,415.44 = 1,729 : x
  2. Step 2: Convert to fraction form
    2,474.56/3,415.44 = 1,729/x
  3. Step 3: Cross multiply
    2,474.56x = 3,415.44 × 1,729
  4. Step 4: Simplify right side
    2,474.56x = 5,905,295.76
  5. Step 5: Solve for x
    x = 5,905,295.76/2,474.56
  6. Step 6: Final answer
    x = 2,386.40

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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.