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Finding the Fourth Proportional to 2,321.64, 3,483.90 and 2,082.60

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Solution

The fourth proportional to 2,321.64, 3,483.90 and 2,082.60 is: 3,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.64 : 3,483.90 = 2,082.60 : x
  2. Step 2: Convert to fraction form
    2,321.64/3,483.90 = 2,082.60/x
  3. Step 3: Cross multiply
    2,321.64x = 3,483.90 × 2,082.60
  4. Step 4: Simplify right side
    2,321.64x = 7,255,570.14
  5. Step 5: Solve for x
    x = 7,255,570.14/2,321.64
  6. Step 6: Final answer
    x = 3,125.19

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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.