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Finding the Fourth Proportional to 2,376.11, 3,564.16 and 644.73

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Solution

The fourth proportional to 2,376.11, 3,564.16 and 644.73 is: 967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.11 : 3,564.16 = 644.73 : x
  2. Step 2: Convert to fraction form
    2,376.11/3,564.16 = 644.73/x
  3. Step 3: Cross multiply
    2,376.11x = 3,564.16 × 644.73
  4. Step 4: Simplify right side
    2,376.11x = 2,297,919.26
  5. Step 5: Solve for x
    x = 2,297,919.26/2,376.11
  6. Step 6: Final answer
    x = 967.10

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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.