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Finding the Fourth Proportional to 5,155.52, 7,734.48 and 1,692.56

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Solution

The fourth proportional to 5,155.52, 7,734.48 and 1,692.56 is: 2,539.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.52 : 7,734.48 = 1,692.56 : x
  2. Step 2: Convert to fraction form
    5,155.52/7,734.48 = 1,692.56/x
  3. Step 3: Cross multiply
    5,155.52x = 7,734.48 × 1,692.56
  4. Step 4: Simplify right side
    5,155.52x = 13,091,071.47
  5. Step 5: Solve for x
    x = 13,091,071.47/5,155.52
  6. Step 6: Final answer
    x = 2,539.23

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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.