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Finding the Fourth Proportional to 19,692.62, 29,530.26 and 7,209.40

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Solution

The fourth proportional to 19,692.62, 29,530.26 and 7,209.40 is: 10,810.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692.62 : 29,530.26 = 7,209.40 : x
  2. Step 2: Convert to fraction form
    19,692.62/29,530.26 = 7,209.40/x
  3. Step 3: Cross multiply
    19,692.62x = 29,530.26 × 7,209.40
  4. Step 4: Simplify right side
    19,692.62x = 212,895,456.44
  5. Step 5: Solve for x
    x = 212,895,456.44/19,692.62
  6. Step 6: Final answer
    x = 10,810.93

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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.