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Finding the Fourth Proportional to 4,783, 7,174.77 and 1,705

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Solution

The fourth proportional to 4,783, 7,174.77 and 1,705 is: 2,557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783 : 7,174.77 = 1,705 : x
  2. Step 2: Convert to fraction form
    4,783/7,174.77 = 1,705/x
  3. Step 3: Cross multiply
    4,783x = 7,174.77 × 1,705
  4. Step 4: Simplify right side
    4,783x = 12,232,982.85
  5. Step 5: Solve for x
    x = 12,232,982.85/4,783
  6. Step 6: Final answer
    x = 2,557.60

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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.