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Finding the Fourth Proportional to 5,388, 7,435.52 and 3,291.68

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Solution

The fourth proportional to 5,388, 7,435.52 and 3,291.68 is: 4,542.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388 : 7,435.52 = 3,291.68 : x
  2. Step 2: Convert to fraction form
    5,388/7,435.52 = 3,291.68/x
  3. Step 3: Cross multiply
    5,388x = 7,435.52 × 3,291.68
  4. Step 4: Simplify right side
    5,388x = 24,475,352.47
  5. Step 5: Solve for x
    x = 24,475,352.47/5,388
  6. Step 6: Final answer
    x = 4,542.57

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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.