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Finding the Fourth Proportional to 15,741, 21,720.69 and 9,026.28

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Solution

The fourth proportional to 15,741, 21,720.69 and 9,026.28 is: 12,455.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,741 : 21,720.69 = 9,026.28 : x
  2. Step 2: Convert to fraction form
    15,741/21,720.69 = 9,026.28/x
  3. Step 3: Cross multiply
    15,741x = 21,720.69 × 9,026.28
  4. Step 4: Simplify right side
    15,741x = 196,057,029.73
  5. Step 5: Solve for x
    x = 196,057,029.73/15,741
  6. Step 6: Final answer
    x = 12,455.18

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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.