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Finding the Fourth Proportional to 5,277.56, 7,282.98 and 2,919.65

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Solution

The fourth proportional to 5,277.56, 7,282.98 and 2,919.65 is: 4,029.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.56 : 7,282.98 = 2,919.65 : x
  2. Step 2: Convert to fraction form
    5,277.56/7,282.98 = 2,919.65/x
  3. Step 3: Cross multiply
    5,277.56x = 7,282.98 × 2,919.65
  4. Step 4: Simplify right side
    5,277.56x = 21,263,716.14
  5. Step 5: Solve for x
    x = 21,263,716.14/5,277.56
  6. Step 6: Final answer
    x = 4,029.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.