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Finding the Fourth Proportional to 2,860.68, 4,292.64 and 1,704

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Solution

The fourth proportional to 2,860.68, 4,292.64 and 1,704 is: 2,556.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.68 : 4,292.64 = 1,704 : x
  2. Step 2: Convert to fraction form
    2,860.68/4,292.64 = 1,704/x
  3. Step 3: Cross multiply
    2,860.68x = 4,292.64 × 1,704
  4. Step 4: Simplify right side
    2,860.68x = 7,314,658.56
  5. Step 5: Solve for x
    x = 7,314,658.56/2,860.68
  6. Step 6: Final answer
    x = 2,556.96

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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.