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Finding the Fourth Proportional to 8,393.88, 11,581.46 and 5,406.12

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Solution

The fourth proportional to 8,393.88, 11,581.46 and 5,406.12 is: 7,459.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,393.88 : 11,581.46 = 5,406.12 : x
  2. Step 2: Convert to fraction form
    8,393.88/11,581.46 = 5,406.12/x
  3. Step 3: Cross multiply
    8,393.88x = 11,581.46 × 5,406.12
  4. Step 4: Simplify right side
    8,393.88x = 62,610,708.00
  5. Step 5: Solve for x
    x = 62,610,708.00/8,393.88
  6. Step 6: Final answer
    x = 7,459.09

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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.