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Finding the Fourth Proportional to 2,328.25, 3,491.76 and 866.60

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Solution

The fourth proportional to 2,328.25, 3,491.76 and 866.60 is: 1,299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.25 : 3,491.76 = 866.60 : x
  2. Step 2: Convert to fraction form
    2,328.25/3,491.76 = 866.60/x
  3. Step 3: Cross multiply
    2,328.25x = 3,491.76 × 866.60
  4. Step 4: Simplify right side
    2,328.25x = 3,025,959.22
  5. Step 5: Solve for x
    x = 3,025,959.22/2,328.25
  6. Step 6: Final answer
    x = 1,299.67

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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.