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Finding the Fourth Proportional to 1,878.85, 2,593.14 and 1,563.69

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Solution

The fourth proportional to 1,878.85, 2,593.14 and 1,563.69 is: 2,158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.85 : 2,593.14 = 1,563.69 : x
  2. Step 2: Convert to fraction form
    1,878.85/2,593.14 = 1,563.69/x
  3. Step 3: Cross multiply
    1,878.85x = 2,593.14 × 1,563.69
  4. Step 4: Simplify right side
    1,878.85x = 4,054,867.09
  5. Step 5: Solve for x
    x = 4,054,867.09/1,878.85
  6. Step 6: Final answer
    x = 2,158.16

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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.