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Finding the Fourth Proportional to 2,165.84, 2,987.36 and 1,379.53

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Solution

The fourth proportional to 2,165.84, 2,987.36 and 1,379.53 is: 1,902.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.84 : 2,987.36 = 1,379.53 : x
  2. Step 2: Convert to fraction form
    2,165.84/2,987.36 = 1,379.53/x
  3. Step 3: Cross multiply
    2,165.84x = 2,987.36 × 1,379.53
  4. Step 4: Simplify right side
    2,165.84x = 4,121,137.80
  5. Step 5: Solve for x
    x = 4,121,137.80/2,165.84
  6. Step 6: Final answer
    x = 1,902.79

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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.