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Finding the Fourth Proportional to 4,377.78, 6,566.94 and 1,779.30

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Solution

The fourth proportional to 4,377.78, 6,566.94 and 1,779.30 is: 2,669.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377.78 : 6,566.94 = 1,779.30 : x
  2. Step 2: Convert to fraction form
    4,377.78/6,566.94 = 1,779.30/x
  3. Step 3: Cross multiply
    4,377.78x = 6,566.94 × 1,779.30
  4. Step 4: Simplify right side
    4,377.78x = 11,684,556.34
  5. Step 5: Solve for x
    x = 11,684,556.34/4,377.78
  6. Step 6: Final answer
    x = 2,669.06

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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.