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Finding the Fourth Proportional to 12,305.70, 16,987.65 and 9,282.07

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Solution

The fourth proportional to 12,305.70, 16,987.65 and 9,282.07 is: 12,813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.70 : 16,987.65 = 9,282.07 : x
  2. Step 2: Convert to fraction form
    12,305.70/16,987.65 = 9,282.07/x
  3. Step 3: Cross multiply
    12,305.70x = 16,987.65 × 9,282.07
  4. Step 4: Simplify right side
    12,305.70x = 157,680,556.44
  5. Step 5: Solve for x
    x = 157,680,556.44/12,305.70
  6. Step 6: Final answer
    x = 12,813.62

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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.