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Finding the Fourth Proportional to 2,855.77, 4,289.84 and 2,417.92

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Solution

The fourth proportional to 2,855.77, 4,289.84 and 2,417.92 is: 3,632.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.77 : 4,289.84 = 2,417.92 : x
  2. Step 2: Convert to fraction form
    2,855.77/4,289.84 = 2,417.92/x
  3. Step 3: Cross multiply
    2,855.77x = 4,289.84 × 2,417.92
  4. Step 4: Simplify right side
    2,855.77x = 10,372,485.25
  5. Step 5: Solve for x
    x = 10,372,485.25/2,855.77
  6. Step 6: Final answer
    x = 3,632.12

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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.