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Finding the Fourth Proportional to 3,762.78, 5,644.50 and 989.40

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Solution

The fourth proportional to 3,762.78, 5,644.50 and 989.40 is: 1,484.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.78 : 5,644.50 = 989.40 : x
  2. Step 2: Convert to fraction form
    3,762.78/5,644.50 = 989.40/x
  3. Step 3: Cross multiply
    3,762.78x = 5,644.50 × 989.40
  4. Step 4: Simplify right side
    3,762.78x = 5,584,668.30
  5. Step 5: Solve for x
    x = 5,584,668.30/3,762.78
  6. Step 6: Final answer
    x = 1,484.19

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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.