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Finding the Fourth Proportional to 2,495, 3,439.89 and 2,045.21

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Solution

The fourth proportional to 2,495, 3,439.89 and 2,045.21 is: 2,819.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495 : 3,439.89 = 2,045.21 : x
  2. Step 2: Convert to fraction form
    2,495/3,439.89 = 2,045.21/x
  3. Step 3: Cross multiply
    2,495x = 3,439.89 × 2,045.21
  4. Step 4: Simplify right side
    2,495x = 7,035,297.43
  5. Step 5: Solve for x
    x = 7,035,297.43/2,495
  6. Step 6: Final answer
    x = 2,819.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.