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Finding the Fourth Proportional to 2,015.50, 3,023.36 and 717.07

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Solution

The fourth proportional to 2,015.50, 3,023.36 and 717.07 is: 1,075.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.50 : 3,023.36 = 717.07 : x
  2. Step 2: Convert to fraction form
    2,015.50/3,023.36 = 717.07/x
  3. Step 3: Cross multiply
    2,015.50x = 3,023.36 × 717.07
  4. Step 4: Simplify right side
    2,015.50x = 2,167,960.76
  5. Step 5: Solve for x
    x = 2,167,960.76/2,015.50
  6. Step 6: Final answer
    x = 1,075.64

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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.