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Finding the Fourth Proportional to 10,671.77, 15,992.39 and 7,838.37

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Solution

The fourth proportional to 10,671.77, 15,992.39 and 7,838.37 is: 11,746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.77 : 15,992.39 = 7,838.37 : x
  2. Step 2: Convert to fraction form
    10,671.77/15,992.39 = 7,838.37/x
  3. Step 3: Cross multiply
    10,671.77x = 15,992.39 × 7,838.37
  4. Step 4: Simplify right side
    10,671.77x = 125,354,230.81
  5. Step 5: Solve for x
    x = 125,354,230.81/10,671.77
  6. Step 6: Final answer
    x = 11,746.34

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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.