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Finding the Fourth Proportional to 3,676.40, 5,513.40 and 1,210.64

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Solution

The fourth proportional to 3,676.40, 5,513.40 and 1,210.64 is: 1,815.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.40 : 5,513.40 = 1,210.64 : x
  2. Step 2: Convert to fraction form
    3,676.40/5,513.40 = 1,210.64/x
  3. Step 3: Cross multiply
    3,676.40x = 5,513.40 × 1,210.64
  4. Step 4: Simplify right side
    3,676.40x = 6,674,715.01
  5. Step 5: Solve for x
    x = 6,674,715.01/3,676.40
  6. Step 6: Final answer
    x = 1,815.56

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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.