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Finding the Fourth Proportional to 10,944, 16,421.76 and 5,395.68

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Solution

The fourth proportional to 10,944, 16,421.76 and 5,395.68 is: 8,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,944 : 16,421.76 = 5,395.68 : x
  2. Step 2: Convert to fraction form
    10,944/16,421.76 = 5,395.68/x
  3. Step 3: Cross multiply
    10,944x = 16,421.76 × 5,395.68
  4. Step 4: Simplify right side
    10,944x = 88,606,562.00
  5. Step 5: Solve for x
    x = 88,606,562.00/10,944
  6. Step 6: Final answer
    x = 8,096.36

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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.