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Finding the Fourth Proportional to 3,289.47, 4,929.54 and 2,898.64

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Solution

The fourth proportional to 3,289.47, 4,929.54 and 2,898.64 is: 4,343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.47 : 4,929.54 = 2,898.64 : x
  2. Step 2: Convert to fraction form
    3,289.47/4,929.54 = 2,898.64/x
  3. Step 3: Cross multiply
    3,289.47x = 4,929.54 × 2,898.64
  4. Step 4: Simplify right side
    3,289.47x = 14,288,961.83
  5. Step 5: Solve for x
    x = 14,288,961.83/3,289.47
  6. Step 6: Final answer
    x = 4,343.85

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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.