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Finding the Fourth Proportional to 5,779.50, 8,670.68 and 2,082

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Solution

The fourth proportional to 5,779.50, 8,670.68 and 2,082 is: 3,123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.50 : 8,670.68 = 2,082 : x
  2. Step 2: Convert to fraction form
    5,779.50/8,670.68 = 2,082/x
  3. Step 3: Cross multiply
    5,779.50x = 8,670.68 × 2,082
  4. Step 4: Simplify right side
    5,779.50x = 18,052,355.76
  5. Step 5: Solve for x
    x = 18,052,355.76/5,779.50
  6. Step 6: Final answer
    x = 3,123.52

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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.