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Finding the Fourth Proportional to 2,958.76, 4,078.84 and 2,328.19

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Solution

The fourth proportional to 2,958.76, 4,078.84 and 2,328.19 is: 3,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.76 : 4,078.84 = 2,328.19 : x
  2. Step 2: Convert to fraction form
    2,958.76/4,078.84 = 2,328.19/x
  3. Step 3: Cross multiply
    2,958.76x = 4,078.84 × 2,328.19
  4. Step 4: Simplify right side
    2,958.76x = 9,496,314.50
  5. Step 5: Solve for x
    x = 9,496,314.50/2,958.76
  6. Step 6: Final answer
    x = 3,209.56

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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.