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Finding the Fourth Proportional to 9,469.56, 13,064.40 and 5,489.28

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Solution

The fourth proportional to 9,469.56, 13,064.40 and 5,489.28 is: 7,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.56 : 13,064.40 = 5,489.28 : x
  2. Step 2: Convert to fraction form
    9,469.56/13,064.40 = 5,489.28/x
  3. Step 3: Cross multiply
    9,469.56x = 13,064.40 × 5,489.28
  4. Step 4: Simplify right side
    9,469.56x = 71,714,149.63
  5. Step 5: Solve for x
    x = 71,714,149.63/9,469.56
  6. Step 6: Final answer
    x = 7,573.12

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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.