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Finding the Fourth Proportional to 34,725, 47,926.98 and 19,821

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Solution

The fourth proportional to 34,725, 47,926.98 and 19,821 is: 27,356.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,725 : 47,926.98 = 19,821 : x
  2. Step 2: Convert to fraction form
    34,725/47,926.98 = 19,821/x
  3. Step 3: Cross multiply
    34,725x = 47,926.98 × 19,821
  4. Step 4: Simplify right side
    34,725x = 949,960,670.58
  5. Step 5: Solve for x
    x = 949,960,670.58/34,725
  6. Step 6: Final answer
    x = 27,356.68

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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.