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Finding the Fourth Proportional to 34,261, 47,280.26 and 19,357

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Solution

The fourth proportional to 34,261, 47,280.26 and 19,357 is: 26,712.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,261 : 47,280.26 = 19,357 : x
  2. Step 2: Convert to fraction form
    34,261/47,280.26 = 19,357/x
  3. Step 3: Cross multiply
    34,261x = 47,280.26 × 19,357
  4. Step 4: Simplify right side
    34,261x = 915,203,992.82
  5. Step 5: Solve for x
    x = 915,203,992.82/34,261
  6. Step 6: Final answer
    x = 26,712.71

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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.