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Finding the Fourth Proportional to 34,693, 47,876.34 and 19,789

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Solution

The fourth proportional to 34,693, 47,876.34 and 19,789 is: 27,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,693 : 47,876.34 = 19,789 : x
  2. Step 2: Convert to fraction form
    34,693/47,876.34 = 19,789/x
  3. Step 3: Cross multiply
    34,693x = 47,876.34 × 19,789
  4. Step 4: Simplify right side
    34,693x = 947,424,892.26
  5. Step 5: Solve for x
    x = 947,424,892.26/34,693
  6. Step 6: Final answer
    x = 27,308.82

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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.