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Finding the Fourth Proportional to 4,783.72, 7,176.30 and 1,705

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Solution

The fourth proportional to 4,783.72, 7,176.30 and 1,705 is: 2,557.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.72 : 7,176.30 = 1,705 : x
  2. Step 2: Convert to fraction form
    4,783.72/7,176.30 = 1,705/x
  3. Step 3: Cross multiply
    4,783.72x = 7,176.30 × 1,705
  4. Step 4: Simplify right side
    4,783.72x = 12,235,591.50
  5. Step 5: Solve for x
    x = 12,235,591.50/4,783.72
  6. Step 6: Final answer
    x = 2,557.76

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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.