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Finding the Fourth Proportional to 34,400, 47,471.68 and 19,496

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Solution

The fourth proportional to 34,400, 47,471.68 and 19,496 is: 26,904.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,400 : 47,471.68 = 19,496 : x
  2. Step 2: Convert to fraction form
    34,400/47,471.68 = 19,496/x
  3. Step 3: Cross multiply
    34,400x = 47,471.68 × 19,496
  4. Step 4: Simplify right side
    34,400x = 925,507,873.28
  5. Step 5: Solve for x
    x = 925,507,873.28/34,400
  6. Step 6: Final answer
    x = 26,904.30

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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.