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Finding the Fourth Proportional to 10,818.36, 14,929.92 and 6,102.54

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Solution

The fourth proportional to 10,818.36, 14,929.92 and 6,102.54 is: 8,421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,818.36 : 14,929.92 = 6,102.54 : x
  2. Step 2: Convert to fraction form
    10,818.36/14,929.92 = 6,102.54/x
  3. Step 3: Cross multiply
    10,818.36x = 14,929.92 × 6,102.54
  4. Step 4: Simplify right side
    10,818.36x = 91,110,434.00
  5. Step 5: Solve for x
    x = 91,110,434.00/10,818.36
  6. Step 6: Final answer
    x = 8,421.83

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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.