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Finding the Fourth Proportional to 17,232, 23,780.16 and 9,780

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Solution

The fourth proportional to 17,232, 23,780.16 and 9,780 is: 13,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,232 : 23,780.16 = 9,780 : x
  2. Step 2: Convert to fraction form
    17,232/23,780.16 = 9,780/x
  3. Step 3: Cross multiply
    17,232x = 23,780.16 × 9,780
  4. Step 4: Simplify right side
    17,232x = 232,569,964.80
  5. Step 5: Solve for x
    x = 232,569,964.80/17,232
  6. Step 6: Final answer
    x = 13,496.40

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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.