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Finding the Fourth Proportional to 12,005.84, 17,979.60 and 8,298.24

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Solution

The fourth proportional to 12,005.84, 17,979.60 and 8,298.24 is: 12,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.84 : 17,979.60 = 8,298.24 : x
  2. Step 2: Convert to fraction form
    12,005.84/17,979.60 = 8,298.24/x
  3. Step 3: Cross multiply
    12,005.84x = 17,979.60 × 8,298.24
  4. Step 4: Simplify right side
    12,005.84x = 149,199,035.90
  5. Step 5: Solve for x
    x = 149,199,035.90/12,005.84
  6. Step 6: Final answer
    x = 12,427.21

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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.