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Finding the Fourth Proportional to 34,335, 47,383.74 and 19,431

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Solution

The fourth proportional to 34,335, 47,383.74 and 19,431 is: 26,815.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,335 : 47,383.74 = 19,431 : x
  2. Step 2: Convert to fraction form
    34,335/47,383.74 = 19,431/x
  3. Step 3: Cross multiply
    34,335x = 47,383.74 × 19,431
  4. Step 4: Simplify right side
    34,335x = 920,713,451.94
  5. Step 5: Solve for x
    x = 920,713,451.94/34,335
  6. Step 6: Final answer
    x = 26,815.59

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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.