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Finding the Fourth Proportional to 2,015.86, 3,023.43 and 535.09

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Solution

The fourth proportional to 2,015.86, 3,023.43 and 535.09 is: 802.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.86 : 3,023.43 = 535.09 : x
  2. Step 2: Convert to fraction form
    2,015.86/3,023.43 = 535.09/x
  3. Step 3: Cross multiply
    2,015.86x = 3,023.43 × 535.09
  4. Step 4: Simplify right side
    2,015.86x = 1,617,807.16
  5. Step 5: Solve for x
    x = 1,617,807.16/2,015.86
  6. Step 6: Final answer
    x = 802.54

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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.