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Finding the Fourth Proportional to 12,285.91, 16,954.05 and 7,250.32

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Solution

The fourth proportional to 12,285.91, 16,954.05 and 7,250.32 is: 10,005.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.91 : 16,954.05 = 7,250.32 : x
  2. Step 2: Convert to fraction form
    12,285.91/16,954.05 = 7,250.32/x
  3. Step 3: Cross multiply
    12,285.91x = 16,954.05 × 7,250.32
  4. Step 4: Simplify right side
    12,285.91x = 122,922,287.80
  5. Step 5: Solve for x
    x = 122,922,287.80/12,285.91
  6. Step 6: Final answer
    x = 10,005.14

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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.