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Finding the Fourth Proportional to 3,206.49, 4,810.02 and 866.85

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Solution

The fourth proportional to 3,206.49, 4,810.02 and 866.85 is: 1,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.49 : 4,810.02 = 866.85 : x
  2. Step 2: Convert to fraction form
    3,206.49/4,810.02 = 866.85/x
  3. Step 3: Cross multiply
    3,206.49x = 4,810.02 × 866.85
  4. Step 4: Simplify right side
    3,206.49x = 4,169,565.84
  5. Step 5: Solve for x
    x = 4,169,565.84/3,206.49
  6. Step 6: Final answer
    x = 1,300.35

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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.