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Finding the Fourth Proportional to 15,744, 21,724.83 and 9,029.28

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Solution

The fourth proportional to 15,744, 21,724.83 and 9,029.28 is: 12,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744 : 21,724.83 = 9,029.28 : x
  2. Step 2: Convert to fraction form
    15,744/21,724.83 = 9,029.28/x
  3. Step 3: Cross multiply
    15,744x = 21,724.83 × 9,029.28
  4. Step 4: Simplify right side
    15,744x = 196,159,573.02
  5. Step 5: Solve for x
    x = 196,159,573.02/15,744
  6. Step 6: Final answer
    x = 12,459.32

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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.