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Finding the Fourth Proportional to 5,209.44, 7,814.63 and 1,698.54

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Solution

The fourth proportional to 5,209.44, 7,814.63 and 1,698.54 is: 2,547.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.44 : 7,814.63 = 1,698.54 : x
  2. Step 2: Convert to fraction form
    5,209.44/7,814.63 = 1,698.54/x
  3. Step 3: Cross multiply
    5,209.44x = 7,814.63 × 1,698.54
  4. Step 4: Simplify right side
    5,209.44x = 13,273,480.54
  5. Step 5: Solve for x
    x = 13,273,480.54/5,209.44
  6. Step 6: Final answer
    x = 2,547.97

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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.