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Finding the Fourth Proportional to 15,872, 21,903.36 and 9,249.28

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Solution

The fourth proportional to 15,872, 21,903.36 and 9,249.28 is: 12,764.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872 : 21,903.36 = 9,249.28 : x
  2. Step 2: Convert to fraction form
    15,872/21,903.36 = 9,249.28/x
  3. Step 3: Cross multiply
    15,872x = 21,903.36 × 9,249.28
  4. Step 4: Simplify right side
    15,872x = 202,590,309.58
  5. Step 5: Solve for x
    x = 202,590,309.58/15,872
  6. Step 6: Final answer
    x = 12,764.01

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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.