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Finding the Fourth Proportional to 3,403.99, 4,699.68 and 2,271.28

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Solution

The fourth proportional to 3,403.99, 4,699.68 and 2,271.28 is: 3,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.99 : 4,699.68 = 2,271.28 : x
  2. Step 2: Convert to fraction form
    3,403.99/4,699.68 = 2,271.28/x
  3. Step 3: Cross multiply
    3,403.99x = 4,699.68 × 2,271.28
  4. Step 4: Simplify right side
    3,403.99x = 10,674,270.68
  5. Step 5: Solve for x
    x = 10,674,270.68/3,403.99
  6. Step 6: Final answer
    x = 3,135.81

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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.