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Finding the Fourth Proportional to 19,692.50, 29,538.75 and 5,100.50

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Solution

The fourth proportional to 19,692.50, 29,538.75 and 5,100.50 is: 7,650.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692.50 : 29,538.75 = 5,100.50 : x
  2. Step 2: Convert to fraction form
    19,692.50/29,538.75 = 5,100.50/x
  3. Step 3: Cross multiply
    19,692.50x = 29,538.75 × 5,100.50
  4. Step 4: Simplify right side
    19,692.50x = 150,662,394.38
  5. Step 5: Solve for x
    x = 150,662,394.38/19,692.50
  6. Step 6: Final answer
    x = 7,650.75

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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.