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Finding the Fourth Proportional to 8,671, 13,009.92 and 4,508.40

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Solution

The fourth proportional to 8,671, 13,009.92 and 4,508.40 is: 6,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671 : 13,009.92 = 4,508.40 : x
  2. Step 2: Convert to fraction form
    8,671/13,009.92 = 4,508.40/x
  3. Step 3: Cross multiply
    8,671x = 13,009.92 × 4,508.40
  4. Step 4: Simplify right side
    8,671x = 58,653,923.33
  5. Step 5: Solve for x
    x = 58,653,923.33/8,671
  6. Step 6: Final answer
    x = 6,764.38

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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.