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Finding the Fourth Proportional to 12,423.28, 17,144.16 and 7,118

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Solution

The fourth proportional to 12,423.28, 17,144.16 and 7,118 is: 9,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.28 : 17,144.16 = 7,118 : x
  2. Step 2: Convert to fraction form
    12,423.28/17,144.16 = 7,118/x
  3. Step 3: Cross multiply
    12,423.28x = 17,144.16 × 7,118
  4. Step 4: Simplify right side
    12,423.28x = 122,032,130.88
  5. Step 5: Solve for x
    x = 122,032,130.88/12,423.28
  6. Step 6: Final answer
    x = 9,822.86

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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.