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Finding the Fourth Proportional to 1,938.50, 2,907.71 and 551.84

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Solution

The fourth proportional to 1,938.50, 2,907.71 and 551.84 is: 827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.50 : 2,907.71 = 551.84 : x
  2. Step 2: Convert to fraction form
    1,938.50/2,907.71 = 551.84/x
  3. Step 3: Cross multiply
    1,938.50x = 2,907.71 × 551.84
  4. Step 4: Simplify right side
    1,938.50x = 1,604,587.93
  5. Step 5: Solve for x
    x = 1,604,587.93/1,938.50
  6. Step 6: Final answer
    x = 827.75

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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.