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Finding the Fourth Proportional to 10,087, 13,920.06 and 5,671

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Solution

The fourth proportional to 10,087, 13,920.06 and 5,671 is: 7,825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,087 : 13,920.06 = 5,671 : x
  2. Step 2: Convert to fraction form
    10,087/13,920.06 = 5,671/x
  3. Step 3: Cross multiply
    10,087x = 13,920.06 × 5,671
  4. Step 4: Simplify right side
    10,087x = 78,940,660.26
  5. Step 5: Solve for x
    x = 78,940,660.26/10,087
  6. Step 6: Final answer
    x = 7,825.98

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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.