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Finding the Fourth Proportional to 2,761.76, 3,811.44 and 1,582.88

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Solution

The fourth proportional to 2,761.76, 3,811.44 and 1,582.88 is: 2,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.76 : 3,811.44 = 1,582.88 : x
  2. Step 2: Convert to fraction form
    2,761.76/3,811.44 = 1,582.88/x
  3. Step 3: Cross multiply
    2,761.76x = 3,811.44 × 1,582.88
  4. Step 4: Simplify right side
    2,761.76x = 6,033,052.15
  5. Step 5: Solve for x
    x = 6,033,052.15/2,761.76
  6. Step 6: Final answer
    x = 2,184.50

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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.