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Finding the Fourth Proportional to 11,898.54, 17,855.37 and 6,978.06

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Solution

The fourth proportional to 11,898.54, 17,855.37 and 6,978.06 is: 10,471.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.54 : 17,855.37 = 6,978.06 : x
  2. Step 2: Convert to fraction form
    11,898.54/17,855.37 = 6,978.06/x
  3. Step 3: Cross multiply
    11,898.54x = 17,855.37 × 6,978.06
  4. Step 4: Simplify right side
    11,898.54x = 124,595,843.18
  5. Step 5: Solve for x
    x = 124,595,843.18/11,898.54
  6. Step 6: Final answer
    x = 10,471.52

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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.