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Finding the Fourth Proportional to 11,075, 16,612.50 and 4,919

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Solution

The fourth proportional to 11,075, 16,612.50 and 4,919 is: 7,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,075 : 16,612.50 = 4,919 : x
  2. Step 2: Convert to fraction form
    11,075/16,612.50 = 4,919/x
  3. Step 3: Cross multiply
    11,075x = 16,612.50 × 4,919
  4. Step 4: Simplify right side
    11,075x = 81,716,887.50
  5. Step 5: Solve for x
    x = 81,716,887.50/11,075
  6. Step 6: Final answer
    x = 7,378.50

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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.