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Finding the Fourth Proportional to 34,582, 47,725.36 and 19,678

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Solution

The fourth proportional to 34,582, 47,725.36 and 19,678 is: 27,156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,582 : 47,725.36 = 19,678 : x
  2. Step 2: Convert to fraction form
    34,582/47,725.36 = 19,678/x
  3. Step 3: Cross multiply
    34,582x = 47,725.36 × 19,678
  4. Step 4: Simplify right side
    34,582x = 939,139,634.08
  5. Step 5: Solve for x
    x = 939,139,634.08/34,582
  6. Step 6: Final answer
    x = 27,156.89

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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.