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Finding the Fourth Proportional to 21,224, 29,298.10 and 14,326.67

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Solution

The fourth proportional to 21,224, 29,298.10 and 14,326.67 is: 19,776.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224 : 29,298.10 = 14,326.67 : x
  2. Step 2: Convert to fraction form
    21,224/29,298.10 = 14,326.67/x
  3. Step 3: Cross multiply
    21,224x = 29,298.10 × 14,326.67
  4. Step 4: Simplify right side
    21,224x = 419,744,210.33
  5. Step 5: Solve for x
    x = 419,744,210.33/21,224
  6. Step 6: Final answer
    x = 19,776.87

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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.