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Finding the Fourth Proportional to 3,722.40, 5,583.72 and 949.14

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Solution

The fourth proportional to 3,722.40, 5,583.72 and 949.14 is: 1,423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.40 : 5,583.72 = 949.14 : x
  2. Step 2: Convert to fraction form
    3,722.40/5,583.72 = 949.14/x
  3. Step 3: Cross multiply
    3,722.40x = 5,583.72 × 949.14
  4. Step 4: Simplify right side
    3,722.40x = 5,299,732.00
  5. Step 5: Solve for x
    x = 5,299,732.00/3,722.40
  6. Step 6: Final answer
    x = 1,423.74

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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.