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Finding the Fourth Proportional to 5,692.30, 8,538.45 and 5,217.10

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Solution

The fourth proportional to 5,692.30, 8,538.45 and 5,217.10 is: 7,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.30 : 8,538.45 = 5,217.10 : x
  2. Step 2: Convert to fraction form
    5,692.30/8,538.45 = 5,217.10/x
  3. Step 3: Cross multiply
    5,692.30x = 8,538.45 × 5,217.10
  4. Step 4: Simplify right side
    5,692.30x = 44,545,947.50
  5. Step 5: Solve for x
    x = 44,545,947.50/5,692.30
  6. Step 6: Final answer
    x = 7,825.65

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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.