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Finding the Fourth Proportional to 7,871.32, 11,808.60 and 2,939.77

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Solution

The fourth proportional to 7,871.32, 11,808.60 and 2,939.77 is: 4,410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.32 : 11,808.60 = 2,939.77 : x
  2. Step 2: Convert to fraction form
    7,871.32/11,808.60 = 2,939.77/x
  3. Step 3: Cross multiply
    7,871.32x = 11,808.60 × 2,939.77
  4. Step 4: Simplify right side
    7,871.32x = 34,714,568.02
  5. Step 5: Solve for x
    x = 34,714,568.02/7,871.32
  6. Step 6: Final answer
    x = 4,410.26

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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.