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Finding the Fourth Proportional to 2,765.58, 4,148.78 and 1,010.67

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Solution

The fourth proportional to 2,765.58, 4,148.78 and 1,010.67 is: 1,516.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.58 : 4,148.78 = 1,010.67 : x
  2. Step 2: Convert to fraction form
    2,765.58/4,148.78 = 1,010.67/x
  3. Step 3: Cross multiply
    2,765.58x = 4,148.78 × 1,010.67
  4. Step 4: Simplify right side
    2,765.58x = 4,193,042.43
  5. Step 5: Solve for x
    x = 4,193,042.43/2,765.58
  6. Step 6: Final answer
    x = 1,516.15

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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.