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Finding the Fourth Proportional to 2,782.58, 4,174.60 and 1,051.22

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Solution

The fourth proportional to 2,782.58, 4,174.60 and 1,051.22 is: 1,577.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.58 : 4,174.60 = 1,051.22 : x
  2. Step 2: Convert to fraction form
    2,782.58/4,174.60 = 1,051.22/x
  3. Step 3: Cross multiply
    2,782.58x = 4,174.60 × 1,051.22
  4. Step 4: Simplify right side
    2,782.58x = 4,388,423.01
  5. Step 5: Solve for x
    x = 4,388,423.01/2,782.58
  6. Step 6: Final answer
    x = 1,577.11

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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.