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Finding the Fourth Proportional to 2,668.89, 3,682.47 and 1,915.05

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Solution

The fourth proportional to 2,668.89, 3,682.47 and 1,915.05 is: 2,642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.89 : 3,682.47 = 1,915.05 : x
  2. Step 2: Convert to fraction form
    2,668.89/3,682.47 = 1,915.05/x
  3. Step 3: Cross multiply
    2,668.89x = 3,682.47 × 1,915.05
  4. Step 4: Simplify right side
    2,668.89x = 7,052,114.17
  5. Step 5: Solve for x
    x = 7,052,114.17/2,668.89
  6. Step 6: Final answer
    x = 2,642.34

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1.5x scale

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.