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Finding the Fourth Proportional to 5,724.70, 7,900.17 and 3,486.68

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Solution

The fourth proportional to 5,724.70, 7,900.17 and 3,486.68 is: 4,811.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.70 : 7,900.17 = 3,486.68 : x
  2. Step 2: Convert to fraction form
    5,724.70/7,900.17 = 3,486.68/x
  3. Step 3: Cross multiply
    5,724.70x = 7,900.17 × 3,486.68
  4. Step 4: Simplify right side
    5,724.70x = 27,545,364.74
  5. Step 5: Solve for x
    x = 27,545,364.74/5,724.70
  6. Step 6: Final answer
    x = 4,811.67

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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.