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Finding the Fourth Proportional to 12,461.29, 17,270.81 and 12,228.01

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Solution

The fourth proportional to 12,461.29, 17,270.81 and 12,228.01 is: 16,947.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.29 : 17,270.81 = 12,228.01 : x
  2. Step 2: Convert to fraction form
    12,461.29/17,270.81 = 12,228.01/x
  3. Step 3: Cross multiply
    12,461.29x = 17,270.81 × 12,228.01
  4. Step 4: Simplify right side
    12,461.29x = 211,187,637.39
  5. Step 5: Solve for x
    x = 211,187,637.39/12,461.29
  6. Step 6: Final answer
    x = 16,947.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.