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Finding the Fourth Proportional to 19,660.80, 29,496 and 9,270

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Solution

The fourth proportional to 19,660.80, 29,496 and 9,270 is: 13,907.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,660.80 : 29,496 = 9,270 : x
  2. Step 2: Convert to fraction form
    19,660.80/29,496 = 9,270/x
  3. Step 3: Cross multiply
    19,660.80x = 29,496 × 9,270
  4. Step 4: Simplify right side
    19,660.80x = 273,427,920
  5. Step 5: Solve for x
    x = 273,427,920/19,660.80
  6. Step 6: Final answer
    x = 13,907.26

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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.