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Finding the Fourth Proportional to 6,323.87, 8,731.05 and 5,659.58

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Solution

The fourth proportional to 6,323.87, 8,731.05 and 5,659.58 is: 7,813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.87 : 8,731.05 = 5,659.58 : x
  2. Step 2: Convert to fraction form
    6,323.87/8,731.05 = 5,659.58/x
  3. Step 3: Cross multiply
    6,323.87x = 8,731.05 × 5,659.58
  4. Step 4: Simplify right side
    6,323.87x = 49,414,075.96
  5. Step 5: Solve for x
    x = 49,414,075.96/6,323.87
  6. Step 6: Final answer
    x = 7,813.90

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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.