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Finding the Fourth Proportional to 15,743, 21,723.44 and 9,028.28

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Solution

The fourth proportional to 15,743, 21,723.44 and 9,028.28 is: 12,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,743 : 21,723.44 = 9,028.28 : x
  2. Step 2: Convert to fraction form
    15,743/21,723.44 = 9,028.28/x
  3. Step 3: Cross multiply
    15,743x = 21,723.44 × 9,028.28
  4. Step 4: Simplify right side
    15,743x = 196,125,298.88
  5. Step 5: Solve for x
    x = 196,125,298.88/15,743
  6. Step 6: Final answer
    x = 12,457.94

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1.5x scale

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.