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Finding the Fourth Proportional to 5,309.17, 7,313.99 and 3,712.83

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Solution

The fourth proportional to 5,309.17, 7,313.99 and 3,712.83 is: 5,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.17 : 7,313.99 = 3,712.83 : x
  2. Step 2: Convert to fraction form
    5,309.17/7,313.99 = 3,712.83/x
  3. Step 3: Cross multiply
    5,309.17x = 7,313.99 × 3,712.83
  4. Step 4: Simplify right side
    5,309.17x = 27,155,601.49
  5. Step 5: Solve for x
    x = 27,155,601.49/5,309.17
  6. Step 6: Final answer
    x = 5,114.85

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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.