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Finding the Fourth Proportional to 4,770.50, 7,156.84 and 1,692.50

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Solution

The fourth proportional to 4,770.50, 7,156.84 and 1,692.50 is: 2,539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.50 : 7,156.84 = 1,692.50 : x
  2. Step 2: Convert to fraction form
    4,770.50/7,156.84 = 1,692.50/x
  3. Step 3: Cross multiply
    4,770.50x = 7,156.84 × 1,692.50
  4. Step 4: Simplify right side
    4,770.50x = 12,112,951.70
  5. Step 5: Solve for x
    x = 12,112,951.70/4,770.50
  6. Step 6: Final answer
    x = 2,539.14

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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.