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Finding the Fourth Proportional to 12,827.25, 17,703.05 and 7,238.61

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Solution

The fourth proportional to 12,827.25, 17,703.05 and 7,238.61 is: 9,990.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.25 : 17,703.05 = 7,238.61 : x
  2. Step 2: Convert to fraction form
    12,827.25/17,703.05 = 7,238.61/x
  3. Step 3: Cross multiply
    12,827.25x = 17,703.05 × 7,238.61
  4. Step 4: Simplify right side
    12,827.25x = 128,145,438.57
  5. Step 5: Solve for x
    x = 128,145,438.57/12,827.25
  6. Step 6: Final answer
    x = 9,990.09

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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.