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Finding the Fourth Proportional to 6,364.25, 8,782.68 and 3,880.25

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Solution

The fourth proportional to 6,364.25, 8,782.68 and 3,880.25 is: 5,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.25 : 8,782.68 = 3,880.25 : x
  2. Step 2: Convert to fraction form
    6,364.25/8,782.68 = 3,880.25/x
  3. Step 3: Cross multiply
    6,364.25x = 8,782.68 × 3,880.25
  4. Step 4: Simplify right side
    6,364.25x = 34,078,994.07
  5. Step 5: Solve for x
    x = 34,078,994.07/6,364.25
  6. Step 6: Final answer
    x = 5,354.75

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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.