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Finding the Fourth Proportional to 34,815, 48,044.76 and 19,911

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Solution

The fourth proportional to 34,815, 48,044.76 and 19,911 is: 27,477.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,815 : 48,044.76 = 19,911 : x
  2. Step 2: Convert to fraction form
    34,815/48,044.76 = 19,911/x
  3. Step 3: Cross multiply
    34,815x = 48,044.76 × 19,911
  4. Step 4: Simplify right side
    34,815x = 956,619,216.36
  5. Step 5: Solve for x
    x = 956,619,216.36/34,815
  6. Step 6: Final answer
    x = 27,477.21

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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.