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Finding the Fourth Proportional to 6,647.97, 9,893.48 and 6,426.50

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Solution

The fourth proportional to 6,647.97, 9,893.48 and 6,426.50 is: 9,563.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.97 : 9,893.48 = 6,426.50 : x
  2. Step 2: Convert to fraction form
    6,647.97/9,893.48 = 6,426.50/x
  3. Step 3: Cross multiply
    6,647.97x = 9,893.48 × 6,426.50
  4. Step 4: Simplify right side
    6,647.97x = 63,580,452.92
  5. Step 5: Solve for x
    x = 63,580,452.92/6,647.97
  6. Step 6: Final answer
    x = 9,563.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.