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Finding the Fourth Proportional to 2,374.33, 3,561.49 and 643.09

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Solution

The fourth proportional to 2,374.33, 3,561.49 and 643.09 is: 964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.33 : 3,561.49 = 643.09 : x
  2. Step 2: Convert to fraction form
    2,374.33/3,561.49 = 643.09/x
  3. Step 3: Cross multiply
    2,374.33x = 3,561.49 × 643.09
  4. Step 4: Simplify right side
    2,374.33x = 2,290,337.58
  5. Step 5: Solve for x
    x = 2,290,337.58/2,374.33
  6. Step 6: Final answer
    x = 964.63

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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.