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Finding the Fourth Proportional to 6,300, 8,694 and 3,506.16

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Solution

The fourth proportional to 6,300, 8,694 and 3,506.16 is: 4,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300 : 8,694 = 3,506.16 : x
  2. Step 2: Convert to fraction form
    6,300/8,694 = 3,506.16/x
  3. Step 3: Cross multiply
    6,300x = 8,694 × 3,506.16
  4. Step 4: Simplify right side
    6,300x = 30,482,555.04
  5. Step 5: Solve for x
    x = 30,482,555.04/6,300
  6. Step 6: Final answer
    x = 4,838.50

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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.