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Finding the Fourth Proportional to 6,758.54, 10,128.09 and 2,857.58

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Solution

The fourth proportional to 6,758.54, 10,128.09 and 2,857.58 is: 4,282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.54 : 10,128.09 = 2,857.58 : x
  2. Step 2: Convert to fraction form
    6,758.54/10,128.09 = 2,857.58/x
  3. Step 3: Cross multiply
    6,758.54x = 10,128.09 × 2,857.58
  4. Step 4: Simplify right side
    6,758.54x = 28,941,827.42
  5. Step 5: Solve for x
    x = 28,941,827.42/6,758.54
  6. Step 6: Final answer
    x = 4,282.26

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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.