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Finding the Fourth Proportional to 9,765.21, 13,476 and 5,288.97

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Solution

The fourth proportional to 9,765.21, 13,476 and 5,288.97 is: 7,298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.21 : 13,476 = 5,288.97 : x
  2. Step 2: Convert to fraction form
    9,765.21/13,476 = 5,288.97/x
  3. Step 3: Cross multiply
    9,765.21x = 13,476 × 5,288.97
  4. Step 4: Simplify right side
    9,765.21x = 71,274,159.72
  5. Step 5: Solve for x
    x = 71,274,159.72/9,765.21
  6. Step 6: Final answer
    x = 7,298.78

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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.