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Finding the Fourth Proportional to 2,909.75, 4,016.07 and 1,915.11

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Solution

The fourth proportional to 2,909.75, 4,016.07 and 1,915.11 is: 2,643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.75 : 4,016.07 = 1,915.11 : x
  2. Step 2: Convert to fraction form
    2,909.75/4,016.07 = 1,915.11/x
  3. Step 3: Cross multiply
    2,909.75x = 4,016.07 × 1,915.11
  4. Step 4: Simplify right side
    2,909.75x = 7,691,215.82
  5. Step 5: Solve for x
    x = 7,691,215.82/2,909.75
  6. Step 6: Final answer
    x = 2,643.26

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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.