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Finding the Fourth Proportional to 13,752.28, 18,978.15 and 7,464.66

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Solution

The fourth proportional to 13,752.28, 18,978.15 and 7,464.66 is: 10,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.28 : 18,978.15 = 7,464.66 : x
  2. Step 2: Convert to fraction form
    13,752.28/18,978.15 = 7,464.66/x
  3. Step 3: Cross multiply
    13,752.28x = 18,978.15 × 7,464.66
  4. Step 4: Simplify right side
    13,752.28x = 141,665,352.01
  5. Step 5: Solve for x
    x = 141,665,352.01/13,752.28
  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.