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Finding the Fourth Proportional to 1,922.42, 2,884.08 and 623.89

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Solution

The fourth proportional to 1,922.42, 2,884.08 and 623.89 is: 935.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.42 : 2,884.08 = 623.89 : x
  2. Step 2: Convert to fraction form
    1,922.42/2,884.08 = 623.89/x
  3. Step 3: Cross multiply
    1,922.42x = 2,884.08 × 623.89
  4. Step 4: Simplify right side
    1,922.42x = 1,799,354.62
  5. Step 5: Solve for x
    x = 1,799,354.62/1,922.42
  6. Step 6: Final answer
    x = 935.98

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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.