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Finding the Fourth Proportional to 7,871.04, 11,811.29 and 3,190.46

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Solution

The fourth proportional to 7,871.04, 11,811.29 and 3,190.46 is: 4,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.04 : 11,811.29 = 3,190.46 : x
  2. Step 2: Convert to fraction form
    7,871.04/11,811.29 = 3,190.46/x
  3. Step 3: Cross multiply
    7,871.04x = 11,811.29 × 3,190.46
  4. Step 4: Simplify right side
    7,871.04x = 37,683,373.28
  5. Step 5: Solve for x
    x = 37,683,373.28/7,871.04
  6. Step 6: Final answer
    x = 4,787.60

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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.