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Finding the Fourth Proportional to 5,185.46, 7,779 and 1,898.12

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Solution

The fourth proportional to 5,185.46, 7,779 and 1,898.12 is: 2,847.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.46 : 7,779 = 1,898.12 : x
  2. Step 2: Convert to fraction form
    5,185.46/7,779 = 1,898.12/x
  3. Step 3: Cross multiply
    5,185.46x = 7,779 × 1,898.12
  4. Step 4: Simplify right side
    5,185.46x = 14,765,475.48
  5. Step 5: Solve for x
    x = 14,765,475.48/5,185.46
  6. Step 6: Final answer
    x = 2,847.48

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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.