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Finding the Fourth Proportional to 4,782.72, 7,174.80 and 1,704

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Solution

The fourth proportional to 4,782.72, 7,174.80 and 1,704 is: 2,556.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.72 : 7,174.80 = 1,704 : x
  2. Step 2: Convert to fraction form
    4,782.72/7,174.80 = 1,704/x
  3. Step 3: Cross multiply
    4,782.72x = 7,174.80 × 1,704
  4. Step 4: Simplify right side
    4,782.72x = 12,225,859.20
  5. Step 5: Solve for x
    x = 12,225,859.20/4,782.72
  6. Step 6: Final answer
    x = 2,556.26

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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.