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Finding the Fourth Proportional to 3,175, 4,378.79 and 1,915.79

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Solution

The fourth proportional to 3,175, 4,378.79 and 1,915.79 is: 2,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175 : 4,378.79 = 1,915.79 : x
  2. Step 2: Convert to fraction form
    3,175/4,378.79 = 1,915.79/x
  3. Step 3: Cross multiply
    3,175x = 4,378.79 × 1,915.79
  4. Step 4: Simplify right side
    3,175x = 8,388,842.09
  5. Step 5: Solve for x
    x = 8,388,842.09/3,175
  6. Step 6: Final answer
    x = 2,642.15

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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.