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Finding the Fourth Proportional to 2,751.78, 4,128.48 and 1,020

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Solution

The fourth proportional to 2,751.78, 4,128.48 and 1,020 is: 1,530.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.78 : 4,128.48 = 1,020 : x
  2. Step 2: Convert to fraction form
    2,751.78/4,128.48 = 1,020/x
  3. Step 3: Cross multiply
    2,751.78x = 4,128.48 × 1,020
  4. Step 4: Simplify right side
    2,751.78x = 4,211,049.60
  5. Step 5: Solve for x
    x = 4,211,049.60/2,751.78
  6. Step 6: Final answer
    x = 1,530.30

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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.