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Finding the Fourth Proportional to 10,353.84, 14,305 and 7,224

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Solution

The fourth proportional to 10,353.84, 14,305 and 7,224 is: 9,980.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.84 : 14,305 = 7,224 : x
  2. Step 2: Convert to fraction form
    10,353.84/14,305 = 7,224/x
  3. Step 3: Cross multiply
    10,353.84x = 14,305 × 7,224
  4. Step 4: Simplify right side
    10,353.84x = 103,339,320
  5. Step 5: Solve for x
    x = 103,339,320/10,353.84
  6. Step 6: Final answer
    x = 9,980.77

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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.