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Finding the Fourth Proportional to 12,912.42, 17,825.40 and 8,661.96

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Solution

The fourth proportional to 12,912.42, 17,825.40 and 8,661.96 is: 11,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.42 : 17,825.40 = 8,661.96 : x
  2. Step 2: Convert to fraction form
    12,912.42/17,825.40 = 8,661.96/x
  3. Step 3: Cross multiply
    12,912.42x = 17,825.40 × 8,661.96
  4. Step 4: Simplify right side
    12,912.42x = 154,402,901.78
  5. Step 5: Solve for x
    x = 154,402,901.78/12,912.42
  6. Step 6: Final answer
    x = 11,957.70

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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.