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Finding the Fourth Proportional to 22,530, 31,090.02 and 12,457.80

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Solution

The fourth proportional to 22,530, 31,090.02 and 12,457.80 is: 17,191.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,530 : 31,090.02 = 12,457.80 : x
  2. Step 2: Convert to fraction form
    22,530/31,090.02 = 12,457.80/x
  3. Step 3: Cross multiply
    22,530x = 31,090.02 × 12,457.80
  4. Step 4: Simplify right side
    22,530x = 387,313,251.16
  5. Step 5: Solve for x
    x = 387,313,251.16/22,530
  6. Step 6: Final answer
    x = 17,191.00

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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.