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Finding the Fourth Proportional to 16,980, 23,422.24 and 10,681.44

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Solution

The fourth proportional to 16,980, 23,422.24 and 10,681.44 is: 14,734.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,980 : 23,422.24 = 10,681.44 : x
  2. Step 2: Convert to fraction form
    16,980/23,422.24 = 10,681.44/x
  3. Step 3: Cross multiply
    16,980x = 23,422.24 × 10,681.44
  4. Step 4: Simplify right side
    16,980x = 250,183,251.23
  5. Step 5: Solve for x
    x = 250,183,251.23/16,980
  6. Step 6: Final answer
    x = 14,734.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.