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Finding the Fourth Proportional to 2,914.96, 4,372.36 and 723.64

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Solution

The fourth proportional to 2,914.96, 4,372.36 and 723.64 is: 1,085.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.96 : 4,372.36 = 723.64 : x
  2. Step 2: Convert to fraction form
    2,914.96/4,372.36 = 723.64/x
  3. Step 3: Cross multiply
    2,914.96x = 4,372.36 × 723.64
  4. Step 4: Simplify right side
    2,914.96x = 3,164,014.59
  5. Step 5: Solve for x
    x = 3,164,014.59/2,914.96
  6. Step 6: Final answer
    x = 1,085.44

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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.