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Finding the Fourth Proportional to 13,751.82, 18,977.22 and 7,464.20

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Solution

The fourth proportional to 13,751.82, 18,977.22 and 7,464.20 is: 10,300.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.82 : 18,977.22 = 7,464.20 : x
  2. Step 2: Convert to fraction form
    13,751.82/18,977.22 = 7,464.20/x
  3. Step 3: Cross multiply
    13,751.82x = 18,977.22 × 7,464.20
  4. Step 4: Simplify right side
    13,751.82x = 141,649,670.64
  5. Step 5: Solve for x
    x = 141,649,670.64/13,751.82
  6. Step 6: Final answer
    x = 10,300.43

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1.5x scale

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.