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Finding the Fourth Proportional to 4,704, 7,057.92 and 1,783.20

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Solution

The fourth proportional to 4,704, 7,057.92 and 1,783.20 is: 2,675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704 : 7,057.92 = 1,783.20 : x
  2. Step 2: Convert to fraction form
    4,704/7,057.92 = 1,783.20/x
  3. Step 3: Cross multiply
    4,704x = 7,057.92 × 1,783.20
  4. Step 4: Simplify right side
    4,704x = 12,585,682.94
  5. Step 5: Solve for x
    x = 12,585,682.94/4,704
  6. Step 6: Final answer
    x = 2,675.53

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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.