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Finding the Fourth Proportional to 19,706.40, 29,542.95 and 9,171

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Solution

The fourth proportional to 19,706.40, 29,542.95 and 9,171 is: 13,748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.40 : 29,542.95 = 9,171 : x
  2. Step 2: Convert to fraction form
    19,706.40/29,542.95 = 9,171/x
  3. Step 3: Cross multiply
    19,706.40x = 29,542.95 × 9,171
  4. Step 4: Simplify right side
    19,706.40x = 270,938,394.45
  5. Step 5: Solve for x
    x = 270,938,394.45/19,706.40
  6. Step 6: Final answer
    x = 13,748.75

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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.