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Finding the Fourth Proportional to 2,505.72, 3,762.22 and 1,779.16

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Solution

The fourth proportional to 2,505.72, 3,762.22 and 1,779.16 is: 2,671.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.72 : 3,762.22 = 1,779.16 : x
  2. Step 2: Convert to fraction form
    2,505.72/3,762.22 = 1,779.16/x
  3. Step 3: Cross multiply
    2,505.72x = 3,762.22 × 1,779.16
  4. Step 4: Simplify right side
    2,505.72x = 6,693,591.34
  5. Step 5: Solve for x
    x = 6,693,591.34/2,505.72
  6. Step 6: Final answer
    x = 2,671.32

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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.