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Finding the Fourth Proportional to 2,082.96, 3,125.16 and 785.16

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Solution

The fourth proportional to 2,082.96, 3,125.16 and 785.16 is: 1,178.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.96 : 3,125.16 = 785.16 : x
  2. Step 2: Convert to fraction form
    2,082.96/3,125.16 = 785.16/x
  3. Step 3: Cross multiply
    2,082.96x = 3,125.16 × 785.16
  4. Step 4: Simplify right side
    2,082.96x = 2,453,750.63
  5. Step 5: Solve for x
    x = 2,453,750.63/2,082.96
  6. Step 6: Final answer
    x = 1,178.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.