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Finding the Fourth Proportional to 34,320, 47,356.80 and 19,213.44

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Solution

The fourth proportional to 34,320, 47,356.80 and 19,213.44 is: 26,511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,320 : 47,356.80 = 19,213.44 : x
  2. Step 2: Convert to fraction form
    34,320/47,356.80 = 19,213.44/x
  3. Step 3: Cross multiply
    34,320x = 47,356.80 × 19,213.44
  4. Step 4: Simplify right side
    34,320x = 909,887,035.39
  5. Step 5: Solve for x
    x = 909,887,035.39/34,320
  6. Step 6: Final answer
    x = 26,511.86

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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.