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Finding the Fourth Proportional to 5,200.13, 7,799.28 and 1,692.63

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Solution

The fourth proportional to 5,200.13, 7,799.28 and 1,692.63 is: 2,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.13 : 7,799.28 = 1,692.63 : x
  2. Step 2: Convert to fraction form
    5,200.13/7,799.28 = 1,692.63/x
  3. Step 3: Cross multiply
    5,200.13x = 7,799.28 × 1,692.63
  4. Step 4: Simplify right side
    5,200.13x = 13,201,295.31
  5. Step 5: Solve for x
    x = 13,201,295.31/5,200.13
  6. Step 6: Final answer
    x = 2,538.65

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1.5x scale

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.