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Finding the Fourth Proportional to 3,209.32, 4,812.54 and 1,477

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Solution

The fourth proportional to 3,209.32, 4,812.54 and 1,477 is: 2,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.32 : 4,812.54 = 1,477 : x
  2. Step 2: Convert to fraction form
    3,209.32/4,812.54 = 1,477/x
  3. Step 3: Cross multiply
    3,209.32x = 4,812.54 × 1,477
  4. Step 4: Simplify right side
    3,209.32x = 7,108,121.58
  5. Step 5: Solve for x
    x = 7,108,121.58/3,209.32
  6. Step 6: Final answer
    x = 2,214.84

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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.