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Finding the Fourth Proportional to 11,871.01, 17,808.34 and 4,078

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Solution

The fourth proportional to 11,871.01, 17,808.34 and 4,078 is: 6,117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.01 : 17,808.34 = 4,078 : x
  2. Step 2: Convert to fraction form
    11,871.01/17,808.34 = 4,078/x
  3. Step 3: Cross multiply
    11,871.01x = 17,808.34 × 4,078
  4. Step 4: Simplify right side
    11,871.01x = 72,622,410.52
  5. Step 5: Solve for x
    x = 72,622,410.52/11,871.01
  6. Step 6: Final answer
    x = 6,117.63

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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.