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Finding the Fourth Proportional to 19,798.17, 27,311.12 and 12,242.09

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Solution

The fourth proportional to 19,798.17, 27,311.12 and 12,242.09 is: 16,887.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,798.17 : 27,311.12 = 12,242.09 : x
  2. Step 2: Convert to fraction form
    19,798.17/27,311.12 = 12,242.09/x
  3. Step 3: Cross multiply
    19,798.17x = 27,311.12 × 12,242.09
  4. Step 4: Simplify right side
    19,798.17x = 334,345,189.04
  5. Step 5: Solve for x
    x = 334,345,189.04/19,798.17
  6. Step 6: Final answer
    x = 16,887.68

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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.