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Finding the Fourth Proportional to 34,818, 48,048.90 and 19,914

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Solution

The fourth proportional to 34,818, 48,048.90 and 19,914 is: 27,481.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,818 : 48,048.90 = 19,914 : x
  2. Step 2: Convert to fraction form
    34,818/48,048.90 = 19,914/x
  3. Step 3: Cross multiply
    34,818x = 48,048.90 × 19,914
  4. Step 4: Simplify right side
    34,818x = 956,845,794.60
  5. Step 5: Solve for x
    x = 956,845,794.60/34,818
  6. Step 6: Final answer
    x = 27,481.35

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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.