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Finding the Fourth Proportional to 9,149.76, 13,712.31 and 6,672.98

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Solution

The fourth proportional to 9,149.76, 13,712.31 and 6,672.98 is: 10,000.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.76 : 13,712.31 = 6,672.98 : x
  2. Step 2: Convert to fraction form
    9,149.76/13,712.31 = 6,672.98/x
  3. Step 3: Cross multiply
    9,149.76x = 13,712.31 × 6,672.98
  4. Step 4: Simplify right side
    9,149.76x = 91,502,004.66
  5. Step 5: Solve for x
    x = 91,502,004.66/9,149.76
  6. Step 6: Final answer
    x = 10,000.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.