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Finding the Fourth Proportional to 15,474.80, 21,361.32 and 10,442

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Solution

The fourth proportional to 15,474.80, 21,361.32 and 10,442 is: 14,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,474.80 : 21,361.32 = 10,442 : x
  2. Step 2: Convert to fraction form
    15,474.80/21,361.32 = 10,442/x
  3. Step 3: Cross multiply
    15,474.80x = 21,361.32 × 10,442
  4. Step 4: Simplify right side
    15,474.80x = 223,054,903.44
  5. Step 5: Solve for x
    x = 223,054,903.44/15,474.80
  6. Step 6: Final answer
    x = 14,414.07

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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.