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Finding the Fourth Proportional to 2,933.84, 4,400.60 and 853.81

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Solution

The fourth proportional to 2,933.84, 4,400.60 and 853.81 is: 1,280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.84 : 4,400.60 = 853.81 : x
  2. Step 2: Convert to fraction form
    2,933.84/4,400.60 = 853.81/x
  3. Step 3: Cross multiply
    2,933.84x = 4,400.60 × 853.81
  4. Step 4: Simplify right side
    2,933.84x = 3,757,261.02
  5. Step 5: Solve for x
    x = 3,757,261.02/2,933.84
  6. Step 6: Final answer
    x = 1,280.66

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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.