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Finding the Fourth Proportional to 15,774.09, 21,768.09 and 9,061.82

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Solution

The fourth proportional to 15,774.09, 21,768.09 and 9,061.82 is: 12,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.09 : 21,768.09 = 9,061.82 : x
  2. Step 2: Convert to fraction form
    15,774.09/21,768.09 = 9,061.82/x
  3. Step 3: Cross multiply
    15,774.09x = 21,768.09 × 9,061.82
  4. Step 4: Simplify right side
    15,774.09x = 197,258,513.32
  5. Step 5: Solve for x
    x = 197,258,513.32/15,774.09
  6. Step 6: Final answer
    x = 12,505.22

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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.