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Finding the Fourth Proportional to 1,779.74, 2,670.72 and 1,765.06

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Solution

The fourth proportional to 1,779.74, 2,670.72 and 1,765.06 is: 2,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.74 : 2,670.72 = 1,765.06 : x
  2. Step 2: Convert to fraction form
    1,779.74/2,670.72 = 1,765.06/x
  3. Step 3: Cross multiply
    1,779.74x = 2,670.72 × 1,765.06
  4. Step 4: Simplify right side
    1,779.74x = 4,713,995.95
  5. Step 5: Solve for x
    x = 4,713,995.95/1,779.74
  6. Step 6: Final answer
    x = 2,648.71

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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.