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Finding the Fourth Proportional to 2,703.68, 4,055.31 and 854.85

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Solution

The fourth proportional to 2,703.68, 4,055.31 and 854.85 is: 1,282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.68 : 4,055.31 = 854.85 : x
  2. Step 2: Convert to fraction form
    2,703.68/4,055.31 = 854.85/x
  3. Step 3: Cross multiply
    2,703.68x = 4,055.31 × 854.85
  4. Step 4: Simplify right side
    2,703.68x = 3,466,681.75
  5. Step 5: Solve for x
    x = 3,466,681.75/2,703.68
  6. Step 6: Final answer
    x = 1,282.21

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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.