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Finding the Fourth Proportional to 2,881.88, 3,976.44 and 1,763.06

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Solution

The fourth proportional to 2,881.88, 3,976.44 and 1,763.06 is: 2,432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.88 : 3,976.44 = 1,763.06 : x
  2. Step 2: Convert to fraction form
    2,881.88/3,976.44 = 1,763.06/x
  3. Step 3: Cross multiply
    2,881.88x = 3,976.44 × 1,763.06
  4. Step 4: Simplify right side
    2,881.88x = 7,010,702.31
  5. Step 5: Solve for x
    x = 7,010,702.31/2,881.88
  6. Step 6: Final answer
    x = 2,432.68

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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.