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Finding the Fourth Proportional to 19,980.78, 29,966.31 and 9,450.38

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Solution

The fourth proportional to 19,980.78, 29,966.31 and 9,450.38 is: 14,173.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980.78 : 29,966.31 = 9,450.38 : x
  2. Step 2: Convert to fraction form
    19,980.78/29,966.31 = 9,450.38/x
  3. Step 3: Cross multiply
    19,980.78x = 29,966.31 × 9,450.38
  4. Step 4: Simplify right side
    19,980.78x = 283,192,866.87
  5. Step 5: Solve for x
    x = 283,192,866.87/19,980.78
  6. Step 6: Final answer
    x = 14,173.26

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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.