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Finding the Fourth Proportional to 6,455.43, 9,684.63 and 2,072.88

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Solution

The fourth proportional to 6,455.43, 9,684.63 and 2,072.88 is: 3,109.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.43 : 9,684.63 = 2,072.88 : x
  2. Step 2: Convert to fraction form
    6,455.43/9,684.63 = 2,072.88/x
  3. Step 3: Cross multiply
    6,455.43x = 9,684.63 × 2,072.88
  4. Step 4: Simplify right side
    6,455.43x = 20,075,075.83
  5. Step 5: Solve for x
    x = 20,075,075.83/6,455.43
  6. Step 6: Final answer
    x = 3,109.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.