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Finding the Fourth Proportional to 2,015, 2,779.74 and 1,425.86

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Solution

The fourth proportional to 2,015, 2,779.74 and 1,425.86 is: 1,967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015 : 2,779.74 = 1,425.86 : x
  2. Step 2: Convert to fraction form
    2,015/2,779.74 = 1,425.86/x
  3. Step 3: Cross multiply
    2,015x = 2,779.74 × 1,425.86
  4. Step 4: Simplify right side
    2,015x = 3,963,520.08
  5. Step 5: Solve for x
    x = 3,963,520.08/2,015
  6. Step 6: Final answer
    x = 1,967.01

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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.