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Finding the Fourth Proportional to 19,142.56, 26,414 and 10,644.08

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Solution

The fourth proportional to 19,142.56, 26,414 and 10,644.08 is: 14,687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,142.56 : 26,414 = 10,644.08 : x
  2. Step 2: Convert to fraction form
    19,142.56/26,414 = 10,644.08/x
  3. Step 3: Cross multiply
    19,142.56x = 26,414 × 10,644.08
  4. Step 4: Simplify right side
    19,142.56x = 281,152,729.12
  5. Step 5: Solve for x
    x = 281,152,729.12/19,142.56
  6. Step 6: Final answer
    x = 14,687.31

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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.