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Finding the Fourth Proportional to 8,148, 11,244.24 and 5,358.48

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Solution

The fourth proportional to 8,148, 11,244.24 and 5,358.48 is: 7,394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148 : 11,244.24 = 5,358.48 : x
  2. Step 2: Convert to fraction form
    8,148/11,244.24 = 5,358.48/x
  3. Step 3: Cross multiply
    8,148x = 11,244.24 × 5,358.48
  4. Step 4: Simplify right side
    8,148x = 60,252,035.16
  5. Step 5: Solve for x
    x = 60,252,035.16/8,148
  6. Step 6: Final answer
    x = 7,394.70

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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.