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Finding the Fourth Proportional to 11,857.60, 17,678.84 and 11,549.84

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Solution

The fourth proportional to 11,857.60, 17,678.84 and 11,549.84 is: 17,219.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.60 : 17,678.84 = 11,549.84 : x
  2. Step 2: Convert to fraction form
    11,857.60/17,678.84 = 11,549.84/x
  3. Step 3: Cross multiply
    11,857.60x = 17,678.84 × 11,549.84
  4. Step 4: Simplify right side
    11,857.60x = 204,187,773.39
  5. Step 5: Solve for x
    x = 204,187,773.39/11,857.60
  6. Step 6: Final answer
    x = 17,219.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.