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Finding the Fourth Proportional to 27,189.80, 40,784.70 and 16,821.80

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Solution

The fourth proportional to 27,189.80, 40,784.70 and 16,821.80 is: 25,232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,189.80 : 40,784.70 = 16,821.80 : x
  2. Step 2: Convert to fraction form
    27,189.80/40,784.70 = 16,821.80/x
  3. Step 3: Cross multiply
    27,189.80x = 40,784.70 × 16,821.80
  4. Step 4: Simplify right side
    27,189.80x = 686,072,066.46
  5. Step 5: Solve for x
    x = 686,072,066.46/27,189.80
  6. Step 6: Final answer
    x = 25,232.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.