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Finding the Fourth Proportional to 15,294.84, 21,105 and 9,006

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Solution

The fourth proportional to 15,294.84, 21,105 and 9,006 is: 12,427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,294.84 : 21,105 = 9,006 : x
  2. Step 2: Convert to fraction form
    15,294.84/21,105 = 9,006/x
  3. Step 3: Cross multiply
    15,294.84x = 21,105 × 9,006
  4. Step 4: Simplify right side
    15,294.84x = 190,071,630
  5. Step 5: Solve for x
    x = 190,071,630/15,294.84
  6. Step 6: Final answer
    x = 12,427.17

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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.