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Finding the Fourth Proportional to 12,287.78, 16,955.44 and 7,252.22

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Solution

The fourth proportional to 12,287.78, 16,955.44 and 7,252.22 is: 10,007.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.78 : 16,955.44 = 7,252.22 : x
  2. Step 2: Convert to fraction form
    12,287.78/16,955.44 = 7,252.22/x
  3. Step 3: Cross multiply
    12,287.78x = 16,955.44 × 7,252.22
  4. Step 4: Simplify right side
    12,287.78x = 122,964,581.08
  5. Step 5: Solve for x
    x = 122,964,581.08/12,287.78
  6. Step 6: Final answer
    x = 10,007.06

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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.