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Finding the Fourth Proportional to 19,699.86, 27,179.90 and 12,983.08

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Solution

The fourth proportional to 19,699.86, 27,179.90 and 12,983.08 is: 17,912.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,699.86 : 27,179.90 = 12,983.08 : x
  2. Step 2: Convert to fraction form
    19,699.86/27,179.90 = 12,983.08/x
  3. Step 3: Cross multiply
    19,699.86x = 27,179.90 × 12,983.08
  4. Step 4: Simplify right side
    19,699.86x = 352,878,816.09
  5. Step 5: Solve for x
    x = 352,878,816.09/19,699.86
  6. Step 6: Final answer
    x = 17,912.76

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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.