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Finding the Fourth Proportional to 11,298.56, 16,878.88 and 8,992.64

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Solution

The fourth proportional to 11,298.56, 16,878.88 and 8,992.64 is: 13,434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.56 : 16,878.88 = 8,992.64 : x
  2. Step 2: Convert to fraction form
    11,298.56/16,878.88 = 8,992.64/x
  3. Step 3: Cross multiply
    11,298.56x = 16,878.88 × 8,992.64
  4. Step 4: Simplify right side
    11,298.56x = 151,785,691.44
  5. Step 5: Solve for x
    x = 151,785,691.44/11,298.56
  6. Step 6: Final answer
    x = 13,434.07

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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.