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Finding the Fourth Proportional to 5,403, 8,104.50 and 1,299

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Solution

The fourth proportional to 5,403, 8,104.50 and 1,299 is: 1,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403 : 8,104.50 = 1,299 : x
  2. Step 2: Convert to fraction form
    5,403/8,104.50 = 1,299/x
  3. Step 3: Cross multiply
    5,403x = 8,104.50 × 1,299
  4. Step 4: Simplify right side
    5,403x = 10,527,745.50
  5. Step 5: Solve for x
    x = 10,527,745.50/5,403
  6. Step 6: Final answer
    x = 1,948.50

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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.