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Finding the Fourth Proportional to 9,672, 13,348.44 and 5,481.60

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Solution

The fourth proportional to 9,672, 13,348.44 and 5,481.60 is: 7,565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672 : 13,348.44 = 5,481.60 : x
  2. Step 2: Convert to fraction form
    9,672/13,348.44 = 5,481.60/x
  3. Step 3: Cross multiply
    9,672x = 13,348.44 × 5,481.60
  4. Step 4: Simplify right side
    9,672x = 73,170,808.70
  5. Step 5: Solve for x
    x = 73,170,808.70/9,672
  6. Step 6: Final answer
    x = 7,565.22

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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.