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Finding the Fourth Proportional to 5,690.76, 8,523.84 and 2,762.88

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Solution

The fourth proportional to 5,690.76, 8,523.84 and 2,762.88 is: 4,138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.76 : 8,523.84 = 2,762.88 : x
  2. Step 2: Convert to fraction form
    5,690.76/8,523.84 = 2,762.88/x
  3. Step 3: Cross multiply
    5,690.76x = 8,523.84 × 2,762.88
  4. Step 4: Simplify right side
    5,690.76x = 23,550,347.06
  5. Step 5: Solve for x
    x = 23,550,347.06/5,690.76
  6. Step 6: Final answer
    x = 4,138.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.