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Finding the Fourth Proportional to 1,783.86, 2,676.02 and 551.40

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Solution

The fourth proportional to 1,783.86, 2,676.02 and 551.40 is: 827.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.86 : 2,676.02 = 551.40 : x
  2. Step 2: Convert to fraction form
    1,783.86/2,676.02 = 551.40/x
  3. Step 3: Cross multiply
    1,783.86x = 2,676.02 × 551.40
  4. Step 4: Simplify right side
    1,783.86x = 1,475,557.43
  5. Step 5: Solve for x
    x = 1,475,557.43/1,783.86
  6. Step 6: Final answer
    x = 827.17

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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.