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Finding the Fourth Proportional to 2,015.64, 3,022.84 and 782.77

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Solution

The fourth proportional to 2,015.64, 3,022.84 and 782.77 is: 1,173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.64 : 3,022.84 = 782.77 : x
  2. Step 2: Convert to fraction form
    2,015.64/3,022.84 = 782.77/x
  3. Step 3: Cross multiply
    2,015.64x = 3,022.84 × 782.77
  4. Step 4: Simplify right side
    2,015.64x = 2,366,188.47
  5. Step 5: Solve for x
    x = 2,366,188.47/2,015.64
  6. Step 6: Final answer
    x = 1,173.91

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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.