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Finding the Fourth Proportional to 2,868.42, 3,958.10 and 1,609.48

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Solution

The fourth proportional to 2,868.42, 3,958.10 and 1,609.48 is: 2,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.42 : 3,958.10 = 1,609.48 : x
  2. Step 2: Convert to fraction form
    2,868.42/3,958.10 = 1,609.48/x
  3. Step 3: Cross multiply
    2,868.42x = 3,958.10 × 1,609.48
  4. Step 4: Simplify right side
    2,868.42x = 6,370,482.79
  5. Step 5: Solve for x
    x = 6,370,482.79/2,868.42
  6. Step 6: Final answer
    x = 2,220.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.