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Finding the Fourth Proportional to 7,150.71, 9,868.01 and 4,168.59

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Solution

The fourth proportional to 7,150.71, 9,868.01 and 4,168.59 is: 5,752.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150.71 : 9,868.01 = 4,168.59 : x
  2. Step 2: Convert to fraction form
    7,150.71/9,868.01 = 4,168.59/x
  3. Step 3: Cross multiply
    7,150.71x = 9,868.01 × 4,168.59
  4. Step 4: Simplify right side
    7,150.71x = 41,135,687.81
  5. Step 5: Solve for x
    x = 41,135,687.81/7,150.71
  6. Step 6: Final answer
    x = 5,752.67

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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.