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Finding the Fourth Proportional to 2,645.18, 3,642 and 2,013.68

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Solution

The fourth proportional to 2,645.18, 3,642 and 2,013.68 is: 2,772.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.18 : 3,642 = 2,013.68 : x
  2. Step 2: Convert to fraction form
    2,645.18/3,642 = 2,013.68/x
  3. Step 3: Cross multiply
    2,645.18x = 3,642 × 2,013.68
  4. Step 4: Simplify right side
    2,645.18x = 7,333,804.35
  5. Step 5: Solve for x
    x = 7,333,804.35/2,645.18
  6. Step 6: Final answer
    x = 2,772.52

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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.