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Finding the Fourth Proportional to 14,822.86, 20,455.85 and 8,108.93

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Solution

The fourth proportional to 14,822.86, 20,455.85 and 8,108.93 is: 11,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.86 : 20,455.85 = 8,108.93 : x
  2. Step 2: Convert to fraction form
    14,822.86/20,455.85 = 8,108.93/x
  3. Step 3: Cross multiply
    14,822.86x = 20,455.85 × 8,108.93
  4. Step 4: Simplify right side
    14,822.86x = 165,875,055.74
  5. Step 5: Solve for x
    x = 165,875,055.74/14,822.86
  6. Step 6: Final answer
    x = 11,190.49

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