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Finding the Fourth Proportional to 6,489.45, 9,745.85 and 5,968.51

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Solution

The fourth proportional to 6,489.45, 9,745.85 and 5,968.51 is: 8,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.45 : 9,745.85 = 5,968.51 : x
  2. Step 2: Convert to fraction form
    6,489.45/9,745.85 = 5,968.51/x
  3. Step 3: Cross multiply
    6,489.45x = 9,745.85 × 5,968.51
  4. Step 4: Simplify right side
    6,489.45x = 58,168,193.74
  5. Step 5: Solve for x
    x = 58,168,193.74/6,489.45
  6. Step 6: Final answer
    x = 8,963.50

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1.5x scale

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.