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Finding the Fourth Proportional to 13,752.25, 18,978.20 and 7,464.62

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Solution

The fourth proportional to 13,752.25, 18,978.20 and 7,464.62 is: 10,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.25 : 18,978.20 = 7,464.62 : x
  2. Step 2: Convert to fraction form
    13,752.25/18,978.20 = 7,464.62/x
  3. Step 3: Cross multiply
    13,752.25x = 18,978.20 × 7,464.62
  4. Step 4: Simplify right side
    13,752.25x = 141,665,089.40
  5. Step 5: Solve for x
    x = 141,665,089.40/13,752.25
  6. Step 6: Final answer
    x = 10,301.23

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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.