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Finding the Fourth Proportional to 15,473, 21,352.74 and 8,399.48

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Solution

The fourth proportional to 15,473, 21,352.74 and 8,399.48 is: 11,591.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,473 : 21,352.74 = 8,399.48 : x
  2. Step 2: Convert to fraction form
    15,473/21,352.74 = 8,399.48/x
  3. Step 3: Cross multiply
    15,473x = 21,352.74 × 8,399.48
  4. Step 4: Simplify right side
    15,473x = 179,351,912.58
  5. Step 5: Solve for x
    x = 179,351,912.58/15,473
  6. Step 6: Final answer
    x = 11,591.28

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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.