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Finding the Fourth Proportional to 1,782.64, 2,469.98 and 1,742.32

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Solution

The fourth proportional to 1,782.64, 2,469.98 and 1,742.32 is: 2,414.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.64 : 2,469.98 = 1,742.32 : x
  2. Step 2: Convert to fraction form
    1,782.64/2,469.98 = 1,742.32/x
  3. Step 3: Cross multiply
    1,782.64x = 2,469.98 × 1,742.32
  4. Step 4: Simplify right side
    1,782.64x = 4,303,474.49
  5. Step 5: Solve for x
    x = 4,303,474.49/1,782.64
  6. Step 6: Final answer
    x = 2,414.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.