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Finding the Fourth Proportional to 16,985.73, 23,443.09 and 9,912.13

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Solution

The fourth proportional to 16,985.73, 23,443.09 and 9,912.13 is: 13,680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,985.73 : 23,443.09 = 9,912.13 : x
  2. Step 2: Convert to fraction form
    16,985.73/23,443.09 = 9,912.13/x
  3. Step 3: Cross multiply
    16,985.73x = 23,443.09 × 9,912.13
  4. Step 4: Simplify right side
    16,985.73x = 232,370,955.68
  5. Step 5: Solve for x
    x = 232,370,955.68/16,985.73
  6. Step 6: Final answer
    x = 13,680.36

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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.