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Finding the Fourth Proportional to 19,761, 27,269.84 and 10,808.31

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Solution

The fourth proportional to 19,761, 27,269.84 and 10,808.31 is: 14,915.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,761 : 27,269.84 = 10,808.31 : x
  2. Step 2: Convert to fraction form
    19,761/27,269.84 = 10,808.31/x
  3. Step 3: Cross multiply
    19,761x = 27,269.84 × 10,808.31
  4. Step 4: Simplify right side
    19,761x = 294,740,884.37
  5. Step 5: Solve for x
    x = 294,740,884.37/19,761
  6. Step 6: Final answer
    x = 14,915.28

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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.