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Finding the Fourth Proportional to 1,878.36, 2,817.74 and 645.61

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Solution

The fourth proportional to 1,878.36, 2,817.74 and 645.61 is: 968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.36 : 2,817.74 = 645.61 : x
  2. Step 2: Convert to fraction form
    1,878.36/2,817.74 = 645.61/x
  3. Step 3: Cross multiply
    1,878.36x = 2,817.74 × 645.61
  4. Step 4: Simplify right side
    1,878.36x = 1,819,165.27
  5. Step 5: Solve for x
    x = 1,819,165.27/1,878.36
  6. Step 6: Final answer
    x = 968.48

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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.