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Finding the Fourth Proportional to 5,383, 7,420.86 and 3,814.68

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Solution

The fourth proportional to 5,383, 7,420.86 and 3,814.68 is: 5,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383 : 7,420.86 = 3,814.68 : x
  2. Step 2: Convert to fraction form
    5,383/7,420.86 = 3,814.68/x
  3. Step 3: Cross multiply
    5,383x = 7,420.86 × 3,814.68
  4. Step 4: Simplify right side
    5,383x = 28,308,206.22
  5. Step 5: Solve for x
    x = 28,308,206.22/5,383
  6. Step 6: Final answer
    x = 5,258.82

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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.