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Finding the Fourth Proportional to 17,020, 25,529.84 and 9,278

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Solution

The fourth proportional to 17,020, 25,529.84 and 9,278 is: 13,916.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,020 : 25,529.84 = 9,278 : x
  2. Step 2: Convert to fraction form
    17,020/25,529.84 = 9,278/x
  3. Step 3: Cross multiply
    17,020x = 25,529.84 × 9,278
  4. Step 4: Simplify right side
    17,020x = 236,865,855.52
  5. Step 5: Solve for x
    x = 236,865,855.52/17,020
  6. Step 6: Final answer
    x = 13,916.91

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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.