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Finding the Fourth Proportional to 11,852.46, 17,784.90 and 7,691.49

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Solution

The fourth proportional to 11,852.46, 17,784.90 and 7,691.49 is: 11,541.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.46 : 17,784.90 = 7,691.49 : x
  2. Step 2: Convert to fraction form
    11,852.46/17,784.90 = 7,691.49/x
  3. Step 3: Cross multiply
    11,852.46x = 17,784.90 × 7,691.49
  4. Step 4: Simplify right side
    11,852.46x = 136,792,380.50
  5. Step 5: Solve for x
    x = 136,792,380.50/11,852.46
  6. Step 6: Final answer
    x = 11,541.26

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1.5x scale

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.