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Finding the Fourth Proportional to 2,457, 3,676.96 and 2,013.12

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Solution

The fourth proportional to 2,457, 3,676.96 and 2,013.12 is: 3,012.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457 : 3,676.96 = 2,013.12 : x
  2. Step 2: Convert to fraction form
    2,457/3,676.96 = 2,013.12/x
  3. Step 3: Cross multiply
    2,457x = 3,676.96 × 2,013.12
  4. Step 4: Simplify right side
    2,457x = 7,402,161.72
  5. Step 5: Solve for x
    x = 7,402,161.72/2,457
  6. Step 6: Final answer
    x = 3,012.68

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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.