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Finding the Fourth Proportional to 8,671, 11,975.70 and 5,871.64

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Solution

The fourth proportional to 8,671, 11,975.70 and 5,871.64 is: 8,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671 : 11,975.70 = 5,871.64 : x
  2. Step 2: Convert to fraction form
    8,671/11,975.70 = 5,871.64/x
  3. Step 3: Cross multiply
    8,671x = 11,975.70 × 5,871.64
  4. Step 4: Simplify right side
    8,671x = 70,316,999.15
  5. Step 5: Solve for x
    x = 70,316,999.15/8,671
  6. Step 6: Final answer
    x = 8,109.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.