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Finding the Fourth Proportional to 9,075, 13,612.50 and 2,919

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Solution

The fourth proportional to 9,075, 13,612.50 and 2,919 is: 4,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075 : 13,612.50 = 2,919 : x
  2. Step 2: Convert to fraction form
    9,075/13,612.50 = 2,919/x
  3. Step 3: Cross multiply
    9,075x = 13,612.50 × 2,919
  4. Step 4: Simplify right side
    9,075x = 39,734,887.50
  5. Step 5: Solve for x
    x = 39,734,887.50/9,075
  6. Step 6: Final answer
    x = 4,378.50

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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.