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Finding the Fourth Proportional to 4,556.72, 6,833.64 and 1,478

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Solution

The fourth proportional to 4,556.72, 6,833.64 and 1,478 is: 2,216.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.72 : 6,833.64 = 1,478 : x
  2. Step 2: Convert to fraction form
    4,556.72/6,833.64 = 1,478/x
  3. Step 3: Cross multiply
    4,556.72x = 6,833.64 × 1,478
  4. Step 4: Simplify right side
    4,556.72x = 10,100,119.92
  5. Step 5: Solve for x
    x = 10,100,119.92/4,556.72
  6. Step 6: Final answer
    x = 2,216.53

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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.