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Finding the Fourth Proportional to 4,668.68, 7,004.16 and 1,381.64

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Solution

The fourth proportional to 4,668.68, 7,004.16 and 1,381.64 is: 2,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.68 : 7,004.16 = 1,381.64 : x
  2. Step 2: Convert to fraction form
    4,668.68/7,004.16 = 1,381.64/x
  3. Step 3: Cross multiply
    4,668.68x = 7,004.16 × 1,381.64
  4. Step 4: Simplify right side
    4,668.68x = 9,677,227.62
  5. Step 5: Solve for x
    x = 9,677,227.62/4,668.68
  6. Step 6: Final answer
    x = 2,072.80

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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.