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Finding the Fourth Proportional to 2,779.10, 3,835.02 and 1,600.10

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Solution

The fourth proportional to 2,779.10, 3,835.02 and 1,600.10 is: 2,208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.10 : 3,835.02 = 1,600.10 : x
  2. Step 2: Convert to fraction form
    2,779.10/3,835.02 = 1,600.10/x
  3. Step 3: Cross multiply
    2,779.10x = 3,835.02 × 1,600.10
  4. Step 4: Simplify right side
    2,779.10x = 6,136,415.50
  5. Step 5: Solve for x
    x = 6,136,415.50/2,779.10
  6. Step 6: Final answer
    x = 2,208.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.