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Finding the Fourth Proportional to 15,285.84, 21,092.58 and 8,997

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Solution

The fourth proportional to 15,285.84, 21,092.58 and 8,997 is: 12,414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,285.84 : 21,092.58 = 8,997 : x
  2. Step 2: Convert to fraction form
    15,285.84/21,092.58 = 8,997/x
  3. Step 3: Cross multiply
    15,285.84x = 21,092.58 × 8,997
  4. Step 4: Simplify right side
    15,285.84x = 189,769,942.26
  5. Step 5: Solve for x
    x = 189,769,942.26/15,285.84
  6. Step 6: Final answer
    x = 12,414.75

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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.