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Finding the Fourth Proportional to 4,774.95, 7,162.43 and 1,855.31

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Solution

The fourth proportional to 4,774.95, 7,162.43 and 1,855.31 is: 2,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.95 : 7,162.43 = 1,855.31 : x
  2. Step 2: Convert to fraction form
    4,774.95/7,162.43 = 1,855.31/x
  3. Step 3: Cross multiply
    4,774.95x = 7,162.43 × 1,855.31
  4. Step 4: Simplify right side
    4,774.95x = 13,288,482.91
  5. Step 5: Solve for x
    x = 13,288,482.91/4,774.95
  6. Step 6: Final answer
    x = 2,782.96

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1.5x scale

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.