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Finding the Fourth Proportional to 28,214.40, 42,324.48 and 9,744

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Solution

The fourth proportional to 28,214.40, 42,324.48 and 9,744 is: 14,616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,214.40 : 42,324.48 = 9,744 : x
  2. Step 2: Convert to fraction form
    28,214.40/42,324.48 = 9,744/x
  3. Step 3: Cross multiply
    28,214.40x = 42,324.48 × 9,744
  4. Step 4: Simplify right side
    28,214.40x = 412,409,733.12
  5. Step 5: Solve for x
    x = 412,409,733.12/28,214.40
  6. Step 6: Final answer
    x = 14,616.99

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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.