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Finding the Fourth Proportional to 12,524, 17,282.88 and 7,218.52

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Solution

The fourth proportional to 12,524, 17,282.88 and 7,218.52 is: 9,961.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524 : 17,282.88 = 7,218.52 : x
  2. Step 2: Convert to fraction form
    12,524/17,282.88 = 7,218.52/x
  3. Step 3: Cross multiply
    12,524x = 17,282.88 × 7,218.52
  4. Step 4: Simplify right side
    12,524x = 124,756,814.94
  5. Step 5: Solve for x
    x = 124,756,814.94/12,524
  6. Step 6: Final answer
    x = 9,961.42

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1.5x scale

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.