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Finding the Fourth Proportional to 5,261.76, 7,884 and 1,797.12

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Solution

The fourth proportional to 5,261.76, 7,884 and 1,797.12 is: 2,692.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.76 : 7,884 = 1,797.12 : x
  2. Step 2: Convert to fraction form
    5,261.76/7,884 = 1,797.12/x
  3. Step 3: Cross multiply
    5,261.76x = 7,884 × 1,797.12
  4. Step 4: Simplify right side
    5,261.76x = 14,168,494.08
  5. Step 5: Solve for x
    x = 14,168,494.08/5,261.76
  6. Step 6: Final answer
    x = 2,692.73

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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.