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Finding the Fourth Proportional to 17,292, 23,863.20 and 9,840

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Solution

The fourth proportional to 17,292, 23,863.20 and 9,840 is: 13,579.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,292 : 23,863.20 = 9,840 : x
  2. Step 2: Convert to fraction form
    17,292/23,863.20 = 9,840/x
  3. Step 3: Cross multiply
    17,292x = 23,863.20 × 9,840
  4. Step 4: Simplify right side
    17,292x = 234,813,888
  5. Step 5: Solve for x
    x = 234,813,888/17,292
  6. Step 6: Final answer
    x = 13,579.34

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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.