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Finding the Fourth Proportional to 12,270.53, 16,916.32 and 8,285.33

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Solution

The fourth proportional to 12,270.53, 16,916.32 and 8,285.33 is: 11,422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.53 : 16,916.32 = 8,285.33 : x
  2. Step 2: Convert to fraction form
    12,270.53/16,916.32 = 8,285.33/x
  3. Step 3: Cross multiply
    12,270.53x = 16,916.32 × 8,285.33
  4. Step 4: Simplify right side
    12,270.53x = 140,157,293.59
  5. Step 5: Solve for x
    x = 140,157,293.59/12,270.53
  6. Step 6: Final answer
    x = 11,422.27

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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.