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Finding the Fourth Proportional to 2,755, 3,802.28 and 1,915.24

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Solution

The fourth proportional to 2,755, 3,802.28 and 1,915.24 is: 2,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755 : 3,802.28 = 1,915.24 : x
  2. Step 2: Convert to fraction form
    2,755/3,802.28 = 1,915.24/x
  3. Step 3: Cross multiply
    2,755x = 3,802.28 × 1,915.24
  4. Step 4: Simplify right side
    2,755x = 7,282,278.75
  5. Step 5: Solve for x
    x = 7,282,278.75/2,755
  6. Step 6: Final answer
    x = 2,643.30

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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.