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Finding the Fourth Proportional to 9,973.98, 13,751.30 and 8,174.84

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Solution

The fourth proportional to 9,973.98, 13,751.30 and 8,174.84 is: 11,270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.98 : 13,751.30 = 8,174.84 : x
  2. Step 2: Convert to fraction form
    9,973.98/13,751.30 = 8,174.84/x
  3. Step 3: Cross multiply
    9,973.98x = 13,751.30 × 8,174.84
  4. Step 4: Simplify right side
    9,973.98x = 112,414,567.66
  5. Step 5: Solve for x
    x = 112,414,567.66/9,973.98
  6. Step 6: Final answer
    x = 11,270.78

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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.