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Finding the Fourth Proportional to 3,640.70, 5,461.05 and 1,043.30

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Solution

The fourth proportional to 3,640.70, 5,461.05 and 1,043.30 is: 1,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.70 : 5,461.05 = 1,043.30 : x
  2. Step 2: Convert to fraction form
    3,640.70/5,461.05 = 1,043.30/x
  3. Step 3: Cross multiply
    3,640.70x = 5,461.05 × 1,043.30
  4. Step 4: Simplify right side
    3,640.70x = 5,697,513.47
  5. Step 5: Solve for x
    x = 5,697,513.47/3,640.70
  6. Step 6: Final answer
    x = 1,564.95

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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.