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Finding the Fourth Proportional to 5,103.52, 7,654.74 and 1,640.50

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Solution

The fourth proportional to 5,103.52, 7,654.74 and 1,640.50 is: 2,460.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.52 : 7,654.74 = 1,640.50 : x
  2. Step 2: Convert to fraction form
    5,103.52/7,654.74 = 1,640.50/x
  3. Step 3: Cross multiply
    5,103.52x = 7,654.74 × 1,640.50
  4. Step 4: Simplify right side
    5,103.52x = 12,557,600.97
  5. Step 5: Solve for x
    x = 12,557,600.97/5,103.52
  6. Step 6: Final answer
    x = 2,460.58

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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.