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Finding the Fourth Proportional to 7,280.46, 10,047.11 and 4,136.67

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Solution

The fourth proportional to 7,280.46, 10,047.11 and 4,136.67 is: 5,708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280.46 : 10,047.11 = 4,136.67 : x
  2. Step 2: Convert to fraction form
    7,280.46/10,047.11 = 4,136.67/x
  3. Step 3: Cross multiply
    7,280.46x = 10,047.11 × 4,136.67
  4. Step 4: Simplify right side
    7,280.46x = 41,561,557.84
  5. Step 5: Solve for x
    x = 41,561,557.84/7,280.46
  6. Step 6: Final answer
    x = 5,708.64

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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.