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Finding the Fourth Proportional to 6,478.38, 9,715.95 and 1,861.38

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Solution

The fourth proportional to 6,478.38, 9,715.95 and 1,861.38 is: 2,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.38 : 9,715.95 = 1,861.38 : x
  2. Step 2: Convert to fraction form
    6,478.38/9,715.95 = 1,861.38/x
  3. Step 3: Cross multiply
    6,478.38x = 9,715.95 × 1,861.38
  4. Step 4: Simplify right side
    6,478.38x = 18,085,075.01
  5. Step 5: Solve for x
    x = 18,085,075.01/6,478.38
  6. Step 6: Final answer
    x = 2,791.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.