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Finding the Fourth Proportional to 9,679.89, 14,512.89 and 4,412.28

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Solution

The fourth proportional to 9,679.89, 14,512.89 and 4,412.28 is: 6,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.89 : 14,512.89 = 4,412.28 : x
  2. Step 2: Convert to fraction form
    9,679.89/14,512.89 = 4,412.28/x
  3. Step 3: Cross multiply
    9,679.89x = 14,512.89 × 4,412.28
  4. Step 4: Simplify right side
    9,679.89x = 64,034,934.29
  5. Step 5: Solve for x
    x = 64,034,934.29/9,679.89
  6. Step 6: Final answer
    x = 6,615.25

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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.