Home / 5,215-7,822.42-1,266.29

Finding the Fourth Proportional to 5,215, 7,822.42 and 1,266.29

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Solution

The fourth proportional to 5,215, 7,822.42 and 1,266.29 is: 1,899.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215 : 7,822.42 = 1,266.29 : x
  2. Step 2: Convert to fraction form
    5,215/7,822.42 = 1,266.29/x
  3. Step 3: Cross multiply
    5,215x = 7,822.42 × 1,266.29
  4. Step 4: Simplify right side
    5,215x = 9,905,445.89
  5. Step 5: Solve for x
    x = 9,905,445.89/5,215
  6. Step 6: Final answer
    x = 1,899.41

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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.