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Finding the Fourth Proportional to 2,928.95, 4,394.16 and 2,064.95

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Solution

The fourth proportional to 2,928.95, 4,394.16 and 2,064.95 is: 3,097.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.95 : 4,394.16 = 2,064.95 : x
  2. Step 2: Convert to fraction form
    2,928.95/4,394.16 = 2,064.95/x
  3. Step 3: Cross multiply
    2,928.95x = 4,394.16 × 2,064.95
  4. Step 4: Simplify right side
    2,928.95x = 9,073,720.69
  5. Step 5: Solve for x
    x = 9,073,720.69/2,928.95
  6. Step 6: Final answer
    x = 3,097.94

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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.