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Finding the Fourth Proportional to 4,668.78, 7,000.96 and 1,381.22

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Solution

The fourth proportional to 4,668.78, 7,000.96 and 1,381.22 is: 2,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.78 : 7,000.96 = 1,381.22 : x
  2. Step 2: Convert to fraction form
    4,668.78/7,000.96 = 1,381.22/x
  3. Step 3: Cross multiply
    4,668.78x = 7,000.96 × 1,381.22
  4. Step 4: Simplify right side
    4,668.78x = 9,669,865.97
  5. Step 5: Solve for x
    x = 9,669,865.97/4,668.78
  6. Step 6: Final answer
    x = 2,071.18

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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.