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Finding the Fourth Proportional to 16,980.51, 23,427.84 and 9,901.92

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Solution

The fourth proportional to 16,980.51, 23,427.84 and 9,901.92 is: 13,661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,980.51 : 23,427.84 = 9,901.92 : x
  2. Step 2: Convert to fraction form
    16,980.51/23,427.84 = 9,901.92/x
  3. Step 3: Cross multiply
    16,980.51x = 23,427.84 × 9,901.92
  4. Step 4: Simplify right side
    16,980.51x = 231,980,597.45
  5. Step 5: Solve for x
    x = 231,980,597.45/16,980.51
  6. Step 6: Final answer
    x = 13,661.58

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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.