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Finding the Fourth Proportional to 3,206.25, 4,808.92 and 866.40

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Solution

The fourth proportional to 3,206.25, 4,808.92 and 866.40 is: 1,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.25 : 4,808.92 = 866.40 : x
  2. Step 2: Convert to fraction form
    3,206.25/4,808.92 = 866.40/x
  3. Step 3: Cross multiply
    3,206.25x = 4,808.92 × 866.40
  4. Step 4: Simplify right side
    3,206.25x = 4,166,429.71
  5. Step 5: Solve for x
    x = 4,166,429.71/3,206.25
  6. Step 6: Final answer
    x = 1,299.47

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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.