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Finding the Fourth Proportional to 13,752.41, 18,978.35 and 7,464.78

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Solution

The fourth proportional to 13,752.41, 18,978.35 and 7,464.78 is: 10,301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.41 : 18,978.35 = 7,464.78 : x
  2. Step 2: Convert to fraction form
    13,752.41/18,978.35 = 7,464.78/x
  3. Step 3: Cross multiply
    13,752.41x = 18,978.35 × 7,464.78
  4. Step 4: Simplify right side
    13,752.41x = 141,669,170.19
  5. Step 5: Solve for x
    x = 141,669,170.19/13,752.41
  6. Step 6: Final answer
    x = 10,301.41

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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.