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Finding the Fourth Proportional to 12,206.88, 18,306 and 7,529.40

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Solution

The fourth proportional to 12,206.88, 18,306 and 7,529.40 is: 11,291.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.88 : 18,306 = 7,529.40 : x
  2. Step 2: Convert to fraction form
    12,206.88/18,306 = 7,529.40/x
  3. Step 3: Cross multiply
    12,206.88x = 18,306 × 7,529.40
  4. Step 4: Simplify right side
    12,206.88x = 137,833,196.40
  5. Step 5: Solve for x
    x = 137,833,196.40/12,206.88
  6. Step 6: Final answer
    x = 11,291.44

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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.