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Finding the Fourth Proportional to 6,982.87, 9,617.64 and 6,457.36

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Solution

The fourth proportional to 6,982.87, 9,617.64 and 6,457.36 is: 8,893.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.87 : 9,617.64 = 6,457.36 : x
  2. Step 2: Convert to fraction form
    6,982.87/9,617.64 = 6,457.36/x
  3. Step 3: Cross multiply
    6,982.87x = 9,617.64 × 6,457.36
  4. Step 4: Simplify right side
    6,982.87x = 62,104,563.83
  5. Step 5: Solve for x
    x = 62,104,563.83/6,982.87
  6. Step 6: Final answer
    x = 8,893.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.