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Finding the Fourth Proportional to 7,876.26, 11,800.44 and 7,018.20

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Solution

The fourth proportional to 7,876.26, 11,800.44 and 7,018.20 is: 10,514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.26 : 11,800.44 = 7,018.20 : x
  2. Step 2: Convert to fraction form
    7,876.26/11,800.44 = 7,018.20/x
  3. Step 3: Cross multiply
    7,876.26x = 11,800.44 × 7,018.20
  4. Step 4: Simplify right side
    7,876.26x = 82,817,848.01
  5. Step 5: Solve for x
    x = 82,817,848.01/7,876.26
  6. Step 6: Final answer
    x = 10,514.87

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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.