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Finding the Fourth Proportional to 21,251.66, 31,883.66 and 9,405

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Solution

The fourth proportional to 21,251.66, 31,883.66 and 9,405 is: 14,110.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,251.66 : 31,883.66 = 9,405 : x
  2. Step 2: Convert to fraction form
    21,251.66/31,883.66 = 9,405/x
  3. Step 3: Cross multiply
    21,251.66x = 31,883.66 × 9,405
  4. Step 4: Simplify right side
    21,251.66x = 299,865,775.28
  5. Step 5: Solve for x
    x = 299,865,775.28/21,251.66
  6. Step 6: Final answer
    x = 14,110.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.