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Finding the Fourth Proportional to 3,206.88, 4,811.17 and 1,358.07

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Solution

The fourth proportional to 3,206.88, 4,811.17 and 1,358.07 is: 2,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.88 : 4,811.17 = 1,358.07 : x
  2. Step 2: Convert to fraction form
    3,206.88/4,811.17 = 1,358.07/x
  3. Step 3: Cross multiply
    3,206.88x = 4,811.17 × 1,358.07
  4. Step 4: Simplify right side
    3,206.88x = 6,533,898.85
  5. Step 5: Solve for x
    x = 6,533,898.85/3,206.88
  6. Step 6: Final answer
    x = 2,037.46

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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.