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Finding the Fourth Proportional to 4,774.80, 7,162.16 and 1,855.16

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Solution

The fourth proportional to 4,774.80, 7,162.16 and 1,855.16 is: 2,782.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.80 : 7,162.16 = 1,855.16 : x
  2. Step 2: Convert to fraction form
    4,774.80/7,162.16 = 1,855.16/x
  3. Step 3: Cross multiply
    4,774.80x = 7,162.16 × 1,855.16
  4. Step 4: Simplify right side
    4,774.80x = 13,286,952.75
  5. Step 5: Solve for x
    x = 13,286,952.75/4,774.80
  6. Step 6: Final answer
    x = 2,782.72

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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.