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Finding the Fourth Proportional to 5,182.56, 7,775.02 and 1,895.64

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Solution

The fourth proportional to 5,182.56, 7,775.02 and 1,895.64 is: 2,843.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.56 : 7,775.02 = 1,895.64 : x
  2. Step 2: Convert to fraction form
    5,182.56/7,775.02 = 1,895.64/x
  3. Step 3: Cross multiply
    5,182.56x = 7,775.02 × 1,895.64
  4. Step 4: Simplify right side
    5,182.56x = 14,738,638.91
  5. Step 5: Solve for x
    x = 14,738,638.91/5,182.56
  6. Step 6: Final answer
    x = 2,843.89

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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.