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Finding the Fourth Proportional to 11,478.92, 17,178 and 7,035.20

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Solution

The fourth proportional to 11,478.92, 17,178 and 7,035.20 is: 10,528.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.92 : 17,178 = 7,035.20 : x
  2. Step 2: Convert to fraction form
    11,478.92/17,178 = 7,035.20/x
  3. Step 3: Cross multiply
    11,478.92x = 17,178 × 7,035.20
  4. Step 4: Simplify right side
    11,478.92x = 120,850,665.60
  5. Step 5: Solve for x
    x = 120,850,665.60/11,478.92
  6. Step 6: Final answer
    x = 10,528.05

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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.