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Finding the Fourth Proportional to 14,662.80, 21,983.40 and 9,971.10

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Solution

The fourth proportional to 14,662.80, 21,983.40 and 9,971.10 is: 14,949.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,662.80 : 21,983.40 = 9,971.10 : x
  2. Step 2: Convert to fraction form
    14,662.80/21,983.40 = 9,971.10/x
  3. Step 3: Cross multiply
    14,662.80x = 21,983.40 × 9,971.10
  4. Step 4: Simplify right side
    14,662.80x = 219,198,679.74
  5. Step 5: Solve for x
    x = 219,198,679.74/14,662.80
  6. Step 6: Final answer
    x = 14,949.31

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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.