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Finding the Fourth Proportional to 18,653.68, 27,984.64 and 6,177.60

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Solution

The fourth proportional to 18,653.68, 27,984.64 and 6,177.60 is: 9,267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,653.68 : 27,984.64 = 6,177.60 : x
  2. Step 2: Convert to fraction form
    18,653.68/27,984.64 = 6,177.60/x
  3. Step 3: Cross multiply
    18,653.68x = 27,984.64 × 6,177.60
  4. Step 4: Simplify right side
    18,653.68x = 172,877,912.06
  5. Step 5: Solve for x
    x = 172,877,912.06/18,653.68
  6. Step 6: Final answer
    x = 9,267.76

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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.