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Finding the Fourth Proportional to 2,102.64, 2,900.40 and 1,682.64

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Solution

The fourth proportional to 2,102.64, 2,900.40 and 1,682.64 is: 2,321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.64 : 2,900.40 = 1,682.64 : x
  2. Step 2: Convert to fraction form
    2,102.64/2,900.40 = 1,682.64/x
  3. Step 3: Cross multiply
    2,102.64x = 2,900.40 × 1,682.64
  4. Step 4: Simplify right side
    2,102.64x = 4,880,329.06
  5. Step 5: Solve for x
    x = 4,880,329.06/2,102.64
  6. Step 6: Final answer
    x = 2,321.05

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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.