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Finding the Fourth Proportional to 9,729.64, 13,421.46 and 6,373

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Solution

The fourth proportional to 9,729.64, 13,421.46 and 6,373 is: 8,791.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.64 : 13,421.46 = 6,373 : x
  2. Step 2: Convert to fraction form
    9,729.64/13,421.46 = 6,373/x
  3. Step 3: Cross multiply
    9,729.64x = 13,421.46 × 6,373
  4. Step 4: Simplify right side
    9,729.64x = 85,534,964.58
  5. Step 5: Solve for x
    x = 85,534,964.58/9,729.64
  6. Step 6: Final answer
    x = 8,791.17

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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.