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Finding the Fourth Proportional to 3,385, 5,078.40 and 1,076.50

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Solution

The fourth proportional to 3,385, 5,078.40 and 1,076.50 is: 1,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385 : 5,078.40 = 1,076.50 : x
  2. Step 2: Convert to fraction form
    3,385/5,078.40 = 1,076.50/x
  3. Step 3: Cross multiply
    3,385x = 5,078.40 × 1,076.50
  4. Step 4: Simplify right side
    3,385x = 5,466,897.60
  5. Step 5: Solve for x
    x = 5,466,897.60/3,385
  6. Step 6: Final answer
    x = 1,615.04

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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.