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Finding the Fourth Proportional to 2,779.47, 3,835.08 and 1,600.11

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Solution

The fourth proportional to 2,779.47, 3,835.08 and 1,600.11 is: 2,207.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.47 : 3,835.08 = 1,600.11 : x
  2. Step 2: Convert to fraction form
    2,779.47/3,835.08 = 1,600.11/x
  3. Step 3: Cross multiply
    2,779.47x = 3,835.08 × 1,600.11
  4. Step 4: Simplify right side
    2,779.47x = 6,136,549.86
  5. Step 5: Solve for x
    x = 6,136,549.86/2,779.47
  6. Step 6: Final answer
    x = 2,207.81

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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.