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Finding the Fourth Proportional to 14,856, 20,501.28 and 8,887.92

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Solution

The fourth proportional to 14,856, 20,501.28 and 8,887.92 is: 12,265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,856 : 20,501.28 = 8,887.92 : x
  2. Step 2: Convert to fraction form
    14,856/20,501.28 = 8,887.92/x
  3. Step 3: Cross multiply
    14,856x = 20,501.28 × 8,887.92
  4. Step 4: Simplify right side
    14,856x = 182,213,736.54
  5. Step 5: Solve for x
    x = 182,213,736.54/14,856
  6. Step 6: Final answer
    x = 12,265.33

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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.