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Finding the Fourth Proportional to 16,455.78, 22,708.97 and 9,287.22

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Solution

The fourth proportional to 16,455.78, 22,708.97 and 9,287.22 is: 12,816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,455.78 : 22,708.97 = 9,287.22 : x
  2. Step 2: Convert to fraction form
    16,455.78/22,708.97 = 9,287.22/x
  3. Step 3: Cross multiply
    16,455.78x = 22,708.97 × 9,287.22
  4. Step 4: Simplify right side
    16,455.78x = 210,903,200.36
  5. Step 5: Solve for x
    x = 210,903,200.36/16,455.78
  6. Step 6: Final answer
    x = 12,816.36

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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.