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Finding the Fourth Proportional to 5,109.48, 7,665.84 and 1,822.50

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Solution

The fourth proportional to 5,109.48, 7,665.84 and 1,822.50 is: 2,734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.48 : 7,665.84 = 1,822.50 : x
  2. Step 2: Convert to fraction form
    5,109.48/7,665.84 = 1,822.50/x
  3. Step 3: Cross multiply
    5,109.48x = 7,665.84 × 1,822.50
  4. Step 4: Simplify right side
    5,109.48x = 13,970,993.40
  5. Step 5: Solve for x
    x = 13,970,993.40/5,109.48
  6. Step 6: Final answer
    x = 2,734.33

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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.