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Finding the Fourth Proportional to 5,224.49, 7,210.43 and 2,986.46

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Solution

The fourth proportional to 5,224.49, 7,210.43 and 2,986.46 is: 4,121.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.49 : 7,210.43 = 2,986.46 : x
  2. Step 2: Convert to fraction form
    5,224.49/7,210.43 = 2,986.46/x
  3. Step 3: Cross multiply
    5,224.49x = 7,210.43 × 2,986.46
  4. Step 4: Simplify right side
    5,224.49x = 21,533,660.78
  5. Step 5: Solve for x
    x = 21,533,660.78/5,224.49
  6. Step 6: Final answer
    x = 4,121.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.