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Finding the Fourth Proportional to 15,372, 21,213.50 and 9,322.11

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Solution

The fourth proportional to 15,372, 21,213.50 and 9,322.11 is: 12,864.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,372 : 21,213.50 = 9,322.11 : x
  2. Step 2: Convert to fraction form
    15,372/21,213.50 = 9,322.11/x
  3. Step 3: Cross multiply
    15,372x = 21,213.50 × 9,322.11
  4. Step 4: Simplify right side
    15,372x = 197,754,533.87
  5. Step 5: Solve for x
    x = 197,754,533.87/15,372
  6. Step 6: Final answer
    x = 12,864.59

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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.