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Finding the Fourth Proportional to 15,291, 21,101.62 and 8,921.97

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Solution

The fourth proportional to 15,291, 21,101.62 and 8,921.97 is: 12,312.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,291 : 21,101.62 = 8,921.97 : x
  2. Step 2: Convert to fraction form
    15,291/21,101.62 = 8,921.97/x
  3. Step 3: Cross multiply
    15,291x = 21,101.62 × 8,921.97
  4. Step 4: Simplify right side
    15,291x = 188,267,998.29
  5. Step 5: Solve for x
    x = 188,267,998.29/15,291
  6. Step 6: Final answer
    x = 12,312.34

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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.