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Finding the Fourth Proportional to 2,914.10, 4,371.10 and 722.84

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Solution

The fourth proportional to 2,914.10, 4,371.10 and 722.84 is: 1,084.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.10 : 4,371.10 = 722.84 : x
  2. Step 2: Convert to fraction form
    2,914.10/4,371.10 = 722.84/x
  3. Step 3: Cross multiply
    2,914.10x = 4,371.10 × 722.84
  4. Step 4: Simplify right side
    2,914.10x = 3,159,605.92
  5. Step 5: Solve for x
    x = 3,159,605.92/2,914.10
  6. Step 6: Final answer
    x = 1,084.25

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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.