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Finding the Fourth Proportional to 15,889.92, 21,929.14 and 9,175.84

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Solution

The fourth proportional to 15,889.92, 21,929.14 and 9,175.84 is: 12,663.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889.92 : 21,929.14 = 9,175.84 : x
  2. Step 2: Convert to fraction form
    15,889.92/21,929.14 = 9,175.84/x
  3. Step 3: Cross multiply
    15,889.92x = 21,929.14 × 9,175.84
  4. Step 4: Simplify right side
    15,889.92x = 201,218,279.98
  5. Step 5: Solve for x
    x = 201,218,279.98/15,889.92
  6. Step 6: Final answer
    x = 12,663.27

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1.5x scale

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.