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Finding the Fourth Proportional to 7,871.94, 11,808.24 and 2,941.08

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Solution

The fourth proportional to 7,871.94, 11,808.24 and 2,941.08 is: 4,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.94 : 11,808.24 = 2,941.08 : x
  2. Step 2: Convert to fraction form
    7,871.94/11,808.24 = 2,941.08/x
  3. Step 3: Cross multiply
    7,871.94x = 11,808.24 × 2,941.08
  4. Step 4: Simplify right side
    7,871.94x = 34,728,978.50
  5. Step 5: Solve for x
    x = 34,728,978.50/7,871.94
  6. Step 6: Final answer
    x = 4,411.74

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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.