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Finding the Fourth Proportional to 4,447, 6,136.98 and 2,457.69

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Solution

The fourth proportional to 4,447, 6,136.98 and 2,457.69 is: 3,391.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447 : 6,136.98 = 2,457.69 : x
  2. Step 2: Convert to fraction form
    4,447/6,136.98 = 2,457.69/x
  3. Step 3: Cross multiply
    4,447x = 6,136.98 × 2,457.69
  4. Step 4: Simplify right side
    4,447x = 15,082,769.84
  5. Step 5: Solve for x
    x = 15,082,769.84/4,447
  6. Step 6: Final answer
    x = 3,391.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.