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Finding the Fourth Proportional to 9,728.64, 13,420.08 and 6,372

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Solution

The fourth proportional to 9,728.64, 13,420.08 and 6,372 is: 8,789.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.64 : 13,420.08 = 6,372 : x
  2. Step 2: Convert to fraction form
    9,728.64/13,420.08 = 6,372/x
  3. Step 3: Cross multiply
    9,728.64x = 13,420.08 × 6,372
  4. Step 4: Simplify right side
    9,728.64x = 85,512,749.76
  5. Step 5: Solve for x
    x = 85,512,749.76/9,728.64
  6. Step 6: Final answer
    x = 8,789.79

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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.