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Finding the Fourth Proportional to 9,372, 12,926.64 and 5,786.88

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Solution

The fourth proportional to 9,372, 12,926.64 and 5,786.88 is: 7,981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,372 : 12,926.64 = 5,786.88 : x
  2. Step 2: Convert to fraction form
    9,372/12,926.64 = 5,786.88/x
  3. Step 3: Cross multiply
    9,372x = 12,926.64 × 5,786.88
  4. Step 4: Simplify right side
    9,372x = 74,804,914.48
  5. Step 5: Solve for x
    x = 74,804,914.48/9,372
  6. Step 6: Final answer
    x = 7,981.75

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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.