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Finding the Fourth Proportional to 12,486.25, 17,234.47 and 7,453.87

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Solution

The fourth proportional to 12,486.25, 17,234.47 and 7,453.87 is: 10,288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486.25 : 17,234.47 = 7,453.87 : x
  2. Step 2: Convert to fraction form
    12,486.25/17,234.47 = 7,453.87/x
  3. Step 3: Cross multiply
    12,486.25x = 17,234.47 × 7,453.87
  4. Step 4: Simplify right side
    12,486.25x = 128,463,562.07
  5. Step 5: Solve for x
    x = 128,463,562.07/12,486.25
  6. Step 6: Final answer
    x = 10,288.40

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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.