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Finding the Fourth Proportional to 15,891, 21,929.58 and 10,302

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Solution

The fourth proportional to 15,891, 21,929.58 and 10,302 is: 14,216.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891 : 21,929.58 = 10,302 : x
  2. Step 2: Convert to fraction form
    15,891/21,929.58 = 10,302/x
  3. Step 3: Cross multiply
    15,891x = 21,929.58 × 10,302
  4. Step 4: Simplify right side
    15,891x = 225,918,533.16
  5. Step 5: Solve for x
    x = 225,918,533.16/15,891
  6. Step 6: Final answer
    x = 14,216.76

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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.