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Finding the Fourth Proportional to 13,752.12, 18,978 and 7,464.56

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Solution

The fourth proportional to 13,752.12, 18,978 and 7,464.56 is: 10,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.12 : 18,978 = 7,464.56 : x
  2. Step 2: Convert to fraction form
    13,752.12/18,978 = 7,464.56/x
  3. Step 3: Cross multiply
    13,752.12x = 18,978 × 7,464.56
  4. Step 4: Simplify right side
    13,752.12x = 141,662,419.68
  5. Step 5: Solve for x
    x = 141,662,419.68/13,752.12
  6. Step 6: Final answer
    x = 10,301.13

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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.