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Finding the Fourth Proportional to 7,868.78, 11,800.36 and 2,602.82

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Solution

The fourth proportional to 7,868.78, 11,800.36 and 2,602.82 is: 3,903.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.78 : 11,800.36 = 2,602.82 : x
  2. Step 2: Convert to fraction form
    7,868.78/11,800.36 = 2,602.82/x
  3. Step 3: Cross multiply
    7,868.78x = 11,800.36 × 2,602.82
  4. Step 4: Simplify right side
    7,868.78x = 30,714,213.02
  5. Step 5: Solve for x
    x = 30,714,213.02/7,868.78
  6. Step 6: Final answer
    x = 3,903.30

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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.