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Finding the Fourth Proportional to 5,692.50, 8,540.19 and 1,588.50

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Solution

The fourth proportional to 5,692.50, 8,540.19 and 1,588.50 is: 2,383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.50 : 8,540.19 = 1,588.50 : x
  2. Step 2: Convert to fraction form
    5,692.50/8,540.19 = 1,588.50/x
  3. Step 3: Cross multiply
    5,692.50x = 8,540.19 × 1,588.50
  4. Step 4: Simplify right side
    5,692.50x = 13,566,091.82
  5. Step 5: Solve for x
    x = 13,566,091.82/5,692.50
  6. Step 6: Final answer
    x = 2,383.15

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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.