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Finding the Fourth Proportional to 17,012, 23,476.68 and 9,560

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Solution

The fourth proportional to 17,012, 23,476.68 and 9,560 is: 13,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,012 : 23,476.68 = 9,560 : x
  2. Step 2: Convert to fraction form
    17,012/23,476.68 = 9,560/x
  3. Step 3: Cross multiply
    17,012x = 23,476.68 × 9,560
  4. Step 4: Simplify right side
    17,012x = 224,437,060.80
  5. Step 5: Solve for x
    x = 224,437,060.80/17,012
  6. Step 6: Final answer
    x = 13,192.87

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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.