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Finding the Fourth Proportional to 9,005.89, 13,490.31 and 7,968.59

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Solution

The fourth proportional to 9,005.89, 13,490.31 and 7,968.59 is: 11,936.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.89 : 13,490.31 = 7,968.59 : x
  2. Step 2: Convert to fraction form
    9,005.89/13,490.31 = 7,968.59/x
  3. Step 3: Cross multiply
    9,005.89x = 13,490.31 × 7,968.59
  4. Step 4: Simplify right side
    9,005.89x = 107,498,749.36
  5. Step 5: Solve for x
    x = 107,498,749.36/9,005.89
  6. Step 6: Final answer
    x = 11,936.49

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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.