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Finding the Fourth Proportional to 20,957.00, 31,435.02 and 9,857.52

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Solution

The fourth proportional to 20,957.00, 31,435.02 and 9,857.52 is: 14,786.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957.00 : 31,435.02 = 9,857.52 : x
  2. Step 2: Convert to fraction form
    20,957.00/31,435.02 = 9,857.52/x
  3. Step 3: Cross multiply
    20,957.00x = 31,435.02 × 9,857.52
  4. Step 4: Simplify right side
    20,957.00x = 309,871,338.35
  5. Step 5: Solve for x
    x = 309,871,338.35/20,957.00
  6. Step 6: Final answer
    x = 14,786.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.